Spelling suggestions: "subject:"tubular structures"" "subject:"lubular structures""
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Origami inspired design of thin walled tubular structures for impact loadingShantanu Ramesh Shinde (7039910) 15 August 2019 (has links)
<div>Thin walled structures find wide applications in automotive industry as energy absorption devices. A great deal of research has been conducted to design thin walled structures, where the main objective is to reduce peak crushing forces and increase energy absorption capacity. With the advancement of computers and mathematics, it has been possible to develop 2D patterns which when folded turn into complex 3D structures. This technology can be used to develop patterns for getting structures with desired properties. </div><div>In this study, square origami tubes with folding pattern (Yoshimura pattern) is designed and studied extensively using numerical analysis. An accurate Finite Element Model (FEM) is developed to conduct the numerical analysis. A parametric study was conducted to study the influence of geometric parameters on the mechanical properties like peak crushing force, mean crushing force, load uniformity and maximum intrusion, when subjected to dynamic loading. </div><div>The results from this analysis are studied and various conclusions are drawn. It is found that, when the tube is folded with the pattern having specific dimension, the performance is enhanced significantly, with predictable and stable collapse. It is also found that the stiffness of the module varies with geometrical parameters. With a proper study it is possible to develop origami structures with functionally graded stiffness, the performance of which can be tuned as per requirement, hence, showing promising capabilities as an energy absorption device where progressive collapse from near to end impact end is desired.</div><div><br></div>
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Análise teórica e experimental de ligações em aço entre pilar tubular de seção circular e viga de seção I / Theoretical and experimental analysis of steel connections between circular hollow section column and I section beamMasioli, Calil Zumerle 15 April 2011 (has links)
O atrativo estético proporcionado pela forma arredondada é o fator que na maioria das vezes determina a utilização de estruturas tubulares circulares. É crescente a concepção de pórticos formados por colunas tubulares e as tradicionais vigas de seção I. Esse tipo de ligação ainda é pouco estudado no Brasil, e esse trabalho busca avançar no entendimento do comportamento estrutural dessas ligações. Foram realizados estudos analíticos, numéricos e experimentais em quatro configurações de ligação, com diafragmas externos transversais, chapa de alma, soldas, parafusos e enrijecedor. Avaliou-se a relação M-\'fi\' (momento-rotação) das ligações estudadas e os parâmetros envolvidos como resistência, rigidez e ductilidade, evidenciando-se o modo de colapso das ligações. O estudo analítico foi desenvolvido baseado nas recomendações do Eurocode 3 (2005), com a utilização do Método das Componentes. A análise numérica, através do Método dos Elementos Finitos, foi realizada por meio dos programas computacionais TRUEGRID® e ANSYS®. Os modelos numéricos consideram as características mecânicas do aço, como plastificação, encruamento e não-linearidades geométricas e de contato. As formulações do Eurocode 3 (2005), adaptadas para a determinação da resistência das ligações viga-coluna, apresentaram resultados coerentes e a análise numérica foi representativa frente aos resultados experimentais. A utilização de diafragmas externos conectados à viga apresentou boa funcionalidade, ajudando na distribuição das tensões na região da ligação, melhorando o comportamento da coluna. / The aesthetic appeal provided by the round shape is the factor that mostly determines the use of circular tubular structures. There is an increasing conception of structures formed by hollow columns and traditional beams of section I. This type of connection hasn\' t been sufficiently studied in Brazil, and this paper tries to advance the comprehension of the structural behavior of these connections. Analytical, numerical, and experimental study were performed in four connections configurations, with transverse external diaphragms, web plate, welds, bolts and stiffener. The relation M-\'fi\' (moment-rotation) of the studied connections and the parameters involved such as strength, stiffness and ductility were evaluated, evidencing the failure mode of connections. The analytical study was developed based on recommendations of Eurocode 3 (2005) using the Method of Components. The numerical analysis using the Finite Element Method was performed with the computer programs TRUEGRID® and ANSYS®. The numerical models consider the mechanical characteristics of steel, such as yielding and hardening, and also the geometric and contact nonlinearity. The formulations of Eurocode 3 (2005), adapted for determining the strength of beam-column connections, showed coherent results and the numerical analysis was representative compared to experimental results. The use of external diaphragm connected to the beam showed good functionality, helping in the distribution of stress in the region of connection, improving the behavior of the column.
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Análise numérica de ligações metálicas viga-coluna com coluna tubular circular / Numerical analysis of steel beam-to-column connection with circular hollow section columnFreitas, Pedro César de Barros 02 June 2009 (has links)
As estruturas tubulares, muitas vezes, têm sua aplicação restrita a construções onde a concepção arquitetônica determina o seu uso, no entanto há algumas vantagens do ponto de vista estrutural que podem justificar a sua aplicação. A reduzida área exposta ao fogo e aos ambientes agressivos, boa resistência a compressão axial com baixa tendência ao desenvolvimento de instabilidades localizadas, são algumas das vantagens da utilização destas estruturas. O objetivo principal deste trabalho é analisar numericamente o comportamento da ligação entre viga de seção I com coluna tubular circular, para tanto são consideradas configurações usuais de ligação com anéis externos transversais e chapa de alma. É ainda objetivo trazer um panorama das estruturas tubulares em geral, com o desenvolvimento histórico das pesquisas, e principalmente estabelecer uma compilação dos procedimentos analíticos de cálculo e classificação apresentados pelas normas Eurocode 3 e ANSI/AISC. A análise numérica foi realizada por meio dos pacotes comerciais TRUEGRID® e ANSYS®, os quais aplicam o método dos elementos finitos. Foram empregados modelos que consideram as características mecânicas do aço, como plastificação e encruamento, e ainda as não-linearidades geométricas e de contato. Os resultados numéricos apresentaram coerência razoável com os modelos analíticos normativos. Foi possível o conhecimento do comportamento M-\'fi\' (momento-rotação) das ligações, bem como a determinação dos parâmetros que caracterizam tal relação, como resistência, rigidez inicial e ductilidade. Os estudos comprovaram a eficácia dos anéis externos na distribuição dos esforços oriundos do engastamento parcial da viga, fazendo com que a coluna não seja comprometida. / The application of tubular structures is usually restricted to constructions on which the architectural conception demands them. However, there are also several structural advantages which justify their usage, such as a) reduced exposed area concerning fire and agressive environments; b) high axial compression resistance; c) high local buckling resistance. The aim of this work is the numerical analysis on the behavior of the I beam-circular hollow column connection, usually constituted by an external ring with single plate. It is presented a general view about the researchers development over the years on tubular structures focusing the compilation of the analytical design procedures and Eurocode 3 and ANSI/AISC classification as well. Finite element method softwares TRUEGRID and ANSYS are used for the numerical analysis in order to consider steel mechanical properties such as yielding, hardening and also geometric and contact nonlinearities. Numerical results present good agreement to codes\' analytical models. Analysis lead to understanding the connection\'s moment-rotation behavior and some of its parameters such as resistance, initial stiffness and ductility. It is shown external rings significantlly improve the semi-rigid connections stress distribution at the columns face.
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Análise numérica de ligações metálicas viga-coluna com coluna tubular circular / Numerical analysis of steel beam-to-column connection with circular hollow section columnPedro César de Barros Freitas 02 June 2009 (has links)
As estruturas tubulares, muitas vezes, têm sua aplicação restrita a construções onde a concepção arquitetônica determina o seu uso, no entanto há algumas vantagens do ponto de vista estrutural que podem justificar a sua aplicação. A reduzida área exposta ao fogo e aos ambientes agressivos, boa resistência a compressão axial com baixa tendência ao desenvolvimento de instabilidades localizadas, são algumas das vantagens da utilização destas estruturas. O objetivo principal deste trabalho é analisar numericamente o comportamento da ligação entre viga de seção I com coluna tubular circular, para tanto são consideradas configurações usuais de ligação com anéis externos transversais e chapa de alma. É ainda objetivo trazer um panorama das estruturas tubulares em geral, com o desenvolvimento histórico das pesquisas, e principalmente estabelecer uma compilação dos procedimentos analíticos de cálculo e classificação apresentados pelas normas Eurocode 3 e ANSI/AISC. A análise numérica foi realizada por meio dos pacotes comerciais TRUEGRID® e ANSYS®, os quais aplicam o método dos elementos finitos. Foram empregados modelos que consideram as características mecânicas do aço, como plastificação e encruamento, e ainda as não-linearidades geométricas e de contato. Os resultados numéricos apresentaram coerência razoável com os modelos analíticos normativos. Foi possível o conhecimento do comportamento M-\'fi\' (momento-rotação) das ligações, bem como a determinação dos parâmetros que caracterizam tal relação, como resistência, rigidez inicial e ductilidade. Os estudos comprovaram a eficácia dos anéis externos na distribuição dos esforços oriundos do engastamento parcial da viga, fazendo com que a coluna não seja comprometida. / The application of tubular structures is usually restricted to constructions on which the architectural conception demands them. However, there are also several structural advantages which justify their usage, such as a) reduced exposed area concerning fire and agressive environments; b) high axial compression resistance; c) high local buckling resistance. The aim of this work is the numerical analysis on the behavior of the I beam-circular hollow column connection, usually constituted by an external ring with single plate. It is presented a general view about the researchers development over the years on tubular structures focusing the compilation of the analytical design procedures and Eurocode 3 and ANSI/AISC classification as well. Finite element method softwares TRUEGRID and ANSYS are used for the numerical analysis in order to consider steel mechanical properties such as yielding, hardening and also geometric and contact nonlinearities. Numerical results present good agreement to codes\' analytical models. Analysis lead to understanding the connection\'s moment-rotation behavior and some of its parameters such as resistance, initial stiffness and ductility. It is shown external rings significantlly improve the semi-rigid connections stress distribution at the columns face.
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Análise teórica e experimental de ligações em aço entre pilar tubular de seção circular e viga de seção I / Theoretical and experimental analysis of steel connections between circular hollow section column and I section beamCalil Zumerle Masioli 15 April 2011 (has links)
O atrativo estético proporcionado pela forma arredondada é o fator que na maioria das vezes determina a utilização de estruturas tubulares circulares. É crescente a concepção de pórticos formados por colunas tubulares e as tradicionais vigas de seção I. Esse tipo de ligação ainda é pouco estudado no Brasil, e esse trabalho busca avançar no entendimento do comportamento estrutural dessas ligações. Foram realizados estudos analíticos, numéricos e experimentais em quatro configurações de ligação, com diafragmas externos transversais, chapa de alma, soldas, parafusos e enrijecedor. Avaliou-se a relação M-\'fi\' (momento-rotação) das ligações estudadas e os parâmetros envolvidos como resistência, rigidez e ductilidade, evidenciando-se o modo de colapso das ligações. O estudo analítico foi desenvolvido baseado nas recomendações do Eurocode 3 (2005), com a utilização do Método das Componentes. A análise numérica, através do Método dos Elementos Finitos, foi realizada por meio dos programas computacionais TRUEGRID® e ANSYS®. Os modelos numéricos consideram as características mecânicas do aço, como plastificação, encruamento e não-linearidades geométricas e de contato. As formulações do Eurocode 3 (2005), adaptadas para a determinação da resistência das ligações viga-coluna, apresentaram resultados coerentes e a análise numérica foi representativa frente aos resultados experimentais. A utilização de diafragmas externos conectados à viga apresentou boa funcionalidade, ajudando na distribuição das tensões na região da ligação, melhorando o comportamento da coluna. / The aesthetic appeal provided by the round shape is the factor that mostly determines the use of circular tubular structures. There is an increasing conception of structures formed by hollow columns and traditional beams of section I. This type of connection hasn\' t been sufficiently studied in Brazil, and this paper tries to advance the comprehension of the structural behavior of these connections. Analytical, numerical, and experimental study were performed in four connections configurations, with transverse external diaphragms, web plate, welds, bolts and stiffener. The relation M-\'fi\' (moment-rotation) of the studied connections and the parameters involved such as strength, stiffness and ductility were evaluated, evidencing the failure mode of connections. The analytical study was developed based on recommendations of Eurocode 3 (2005) using the Method of Components. The numerical analysis using the Finite Element Method was performed with the computer programs TRUEGRID® and ANSYS®. The numerical models consider the mechanical characteristics of steel, such as yielding and hardening, and also the geometric and contact nonlinearity. The formulations of Eurocode 3 (2005), adapted for determining the strength of beam-column connections, showed coherent results and the numerical analysis was representative compared to experimental results. The use of external diaphragm connected to the beam showed good functionality, helping in the distribution of stress in the region of connection, improving the behavior of the column.
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Mid-length lateral deflection of cyclically-loaded bracesSheehan, Therese, Chan, T.M., Lam, Dennis 06 1900 (has links)
No / This study explores the lateral deflections of diagonal braces in concentrically-braced earthquake-resisting frames. The performance of this widely-used system is often compromised by the flexural buckling of slender braces in compression. In addition to reducing the compressive resistance, buckling may also cause these members to undergo sizeable lateral deflections which could damage surrounding structural components. Different approaches have been used in the past to predict the mid-length lateral deflections of cyclically loaded steel braces based on their theoretical deformed geometry or by using experimental data. Expressions have been proposed relating the mid-length lateral deflection to the axial displacement ductility of the member. Recent experiments were conducted on hollow and concrete-filled circular hollow section (CHS) braces of different lengths under cyclic loading. Very slender, concrete-filled tubular braces exhibited a highly ductile response, undergoing large axial displacements prior to failure. The presence of concrete infill did not influence the magnitude of lateral deflection in relation to the axial displacement, but did increase the number of cycles endured and the maximum axial displacement achieved. The corresponding lateral deflections exceeded the deflections observed in the majority of the previous experiments that were considered. Consequently, predictive expressions from previous research did not accurately predict the mid-height lateral deflections of these CHS members. Mid-length lateral deflections were found to be influenced by the member non-dimensional slenderness ( ) and hence a new expression was proposed for the lateral deflection in terms of member slenderness and axial displacement ductility. / TATA Steel
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Polymerized Tubular Silicates in Lower Cambrian Carbonates – Biology or Chemistry?Green, Scott January 2022 (has links)
Shallow marine environments from the Lower Cambrian period were very different to shallow marine environments of today. Tubes of what was thought to be silica recovered from a partly dolomitized carbonate sample collected form a site near Indian Springs, Nevada could help further understand the chemistry and characteristics of such environments. The aim of this study is to present a detailed morphological description of the tubular structures found in the rock sample as well as to give a description of the environment in which they were produced. This was achieved by first studying the samples with several different analytical techniques including Scanning Electron Microscopy (SEM) and Energy-dispersive X-ray spectroscopy (EDS) and subsequent evaluation of the obtained data. This resulted in the discovery that the tubular structures have a wall mainly consisting of non-detrital silica crystals. The crystals are arranged in string-like structures which overlap to form tube walls of varying thicknesses. The observed tubular structures are typically straight and ca. 0,23 to 0,25 mm long, but slightly curved and rare bifurcating tubes were also seen. The elemental mapping of a thin section of tubes showed that the wall-forming crystals consist mainly of silica (SiO2), however, small concentrations of calcium (Ca) were found inside many of the silica crystals leading to the conclusion that positive calcium ions may have acted as a seed for the silica crystals. A comparison of the tubular structures with other tubular fossils of the same geological time period is presented as well as a discussion of whether the specimens are of biological origin, and consequently a biosignature, as these could be used in future research when studying material from other planetary bodies. / Grunda marinmiljöer i nedre Kambrium var väldigt annorlunda från grunda marinmiljöer som finns idag. Små rör av vad som hypotiserades vara kiseloxid upptäckta i en dolomitiserad kalkstenstuff från Indian Springs, Nevada skulle kunna hjälpa att förstå kemin inblandad i bildandet av dessa samt bildningsmiljön i mer detalj. Syftet med detta projekt är att presentera en detaljerad morfologisk beskrivning av dessa rör samt försöka beskriv miljön i vilken de bildades. Undersökningen gjorde genom att först studera rören med olika mikroskoperingsmetoder inklusive ett optiskt mikroskop samt med ett svepelektronmikroskop (SEM), sedan analyserades proverna med Energidispersiv röntgenspektroskopi (EDS) för att detektera och kartera de grundämnena som fanns i rören. Resultaten av dessa metoder är att rören är cylindriska eller cigarrformade samt har en väggstruktur av kiseldioxidkristaller som sitter ihop som strängar av pärlor. Rören är huvudsakligen raka och har en längd på mellan 0,23 och 0,25mm, även böjda och förgrenade rör hat hittats, dock var mer sällsynta än de raka. Den kemiska analysen av ett tunnslip på några rör visade att de består till mestadels av kiseldioxid (SiO2) men koncentrationer av kalcium (Ca) hittades som indikerar att dessa kanske agerade som små frön för kiseldioxid att växa runt. En jämförelse av dessa rör med andra liknande fossilmed samma struktur och från samma tidsperiod är presenterad samt en diskussion kring rören som biosignatur och dess potentiella biologiskt ursprung samt användning i framtida forskning inom ämnet.
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Estudo parametrico de estruturas tubulares com ligações multiplanares / Parametric study of tubular structures with multiplanar connectionsForti, Nadia Cazarim da Silva 15 August 2018 (has links)
Orientador: João Alberto Venegas Requena / Tese (doutorado) - Universidade Estadual de Campinas, Faculdade de Engenharia Civil, Arquitetura e Urbanismo / Made available in DSpace on 2018-08-15T22:06:00Z (GMT). No. of bitstreams: 1
Forti_NadiaCazarimdaSilva_D.pdf: 4434332 bytes, checksum: 7a022dba8cf147d4f048eb4863373d71 (MD5)
Previous issue date: 2010 / Resumo: Este trabalho apresenta um estudo paramétrico comparativo de ligações do tipo K e KK utilizando perfis tubulares circulares com afastamento entre diagonais e carregadas simetricamente. Para se comparar as ligações, foi desenvolvido um modelo numérico através do programa comercial de elementos finitos Ansys. Também foram desenvolvidos dois programas auxiliares para facilitar o estudo paramétrico. Foram analisadas 55 ligações do tipo KK e suas correspondentes K, comparando-se suas resistências. O objetivo deste trabalho é propor um critério objetivo para definir os modos de falha (1 e 2) da ligação tipo KK baseado na deformação diametral do banzo. O modo de falha 1 ocorre quando um par de diagonais vizinhas, carregadas no mesmo sentido, empurra ou puxa, a parede do banzo e no segundo, chamado modo 2 acontece uma deformação diametral da parede do banzo na região entre as diagonais vizinhas, criando quinas e dobras entre essas diagonais. Outro objetivo é estabelece uma demarcação do limite entre os dois modos de falha como uma função do afastamento transversal entre as diagonais. Os resultados permitiram o desenvolvimento de equações que preveem as resistências das ligações tipo KK, para os modos de falha 1 e 2 (plastificação da parede do banzo), a partir da resistência da ligação tipo K correspondente / Abstract: This work presents a parametric study of K and KK tubular steel connection. Gap connections with symmetric loading are analyzed. A numerical model using the commercial finite element software Ansys is proposed to compare K and KK connection resistances. Two auxiliary softwares are developed for setting the numerical model and to post-process results. A set of 55 KK connections and their correspondent K connections are analyzed and their resistances are compared. The objective of this work is purpose define the failure mode (1 or 2) of KK connections. This criteria is based on the chord diametric deformation. The results allowed the definition of limit values in function of the transversal gap for determining the connection failure mode. The connection resistance obtained in the parametric study allowed the development of an analytical expression which predict the KK connections resistance from the resistance of its correspondent K connection / Doutorado / Estruturas / Doutor em Engenharia Civil
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Azacyclopeptide synthesis and their neuroprotective activity against Aβ toxicityVutla, Suresh 08 1900 (has links)
Le mauvais repliement et l’agrégation des protéines représentent une cause fondamentale des pathologies amyloïdes. Des dépôts de protéines sous la forme de fibrilles amyloïdes sont une composante caractéristique de plus de vingt maladies neurodégénératives incluant la maladie d’Alzheimer, la maladie de Parkinson et la maladie d’Huntington. Des nanotubes composés de peptides-α -D,L cycliques synthétiques peuvent mimer les propriétés structurelles et biochimiques des protéines amyloïdes. L’introduction de résidus aza-aminés dans des peptides α -D,L cycliques a été étudiée dans le but d’augmenter les interactions hydrogènes intermoléculaires entre les différents macrocycles superposés composant le nanotube. Les peptides aza-α-D,L cycliques devraient aussi posséder une meilleure capacité d’interaction avec les feuillets des oligomères amyloïdes. Le peptide d’intérêt CP-2 possède la séquence [l-J-w-H-s-K], où les lettres minuscules et majuscules font référence respectivement aux acides aminés D et L, les crochets indiquent une structure cyclique et la lettre « J » représente la norleucine. En exploitant la capacité des semicarbazides d’accroitre les ponts hydrogènes intermoléculaires, nous avons remplacés successivement chacun des acides aminés de la séquence CP-2 par un résidu aza-glycine, obtenant une librairie d’azapeptides cycliques. Ces peptides ont été testés pour leur propriété neuroprotectrice contre les amyloïdes en utilisant un essai de viabilité cellulaire (essai MTT). Le peptide où la D-serine a été remplacée par une aza-glycine, CP-2 (4), s’est avéré plus efficace que CP-2. Il s’agit du premier exemple d’introduction d’un résidu aza-aminé dans un peptide α-D,L cyclique, et ces résultats pourraient être extrapolés à d’autres peptides α-D,L cycliques d’intérêt thérapeutique. / Protein misfolding and aggregation are the fundamental causes of amyloid diseases. Deposits of proteins in the form of amyloid fibrils and plaques are the characteristic features of more than twenty degenerative conditions, including Alzheimer’s, Parkinson’s, and Huntington’s diseases. Synthetic cyclic D,L-α-peptide nanotubes can mimic the structural and biochemical properties of amyloid proteins. The introduction of aza-residues into cyclic D,L-α-peptides was studied to enhance intermolecular hydrogen bonding between stacked rings within the tube structures. The resulting cyclic aza-D,L-α-peptides were also expected to exhibit enhanced propensity to interact with the sheet structures of amyloid oligomers.
The lead peptide CP-2 features the sequence [l-J-w-H-s-K] in which lower and upper-case letters indicate D- and L-amino acids, respectively, square brackets designate a cyclic structure, and J denotes norleucine. There are no reports for introduction of aza-residues into cyclic D,L-α-peptides. Considering the potential for semicarbazides to enhance intermolecular hydrogen bonding, we performed an aza-glycine scan of the CP-2 sequence by preparing a focused library of azapeptides. All the cyclic aza-glycine peptides were tested for neuroprotective activity against amyloid using cell viability assay (MTT assay). The aza-glycine replacing D-serine i.e., [azaG2]-CP-2 (4) was found to be more potent than CP-2. This is the first example of introducing an aza-amino residue into a cyclic D, L-α-peptide, and these results could be extrapolated to other cyclic D, L-α-peptides of therapeutic interest.
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Structural Optimization of Thin Walled Tubular Structure for CrashworthinessShinde, Satyajeet Suresh January 2014 (has links)
Indiana University-Purdue University Indianapolis (IUPUI) / Crashworthiness design is gaining more importance in the automotive industry due to high competition and tight safety norms. Further there is a need for light weight structures in the automotive design. Structural optimization in last two decades have been widely explored to improve existing designs or conceive new designs with better crashworthiness and reduced mass. Although many gradient based and heuristic methods for topology and topometry based crashworthiness design are available these days, most of them result in stiff structures that are suitable only for a set of vehicle components in which maximizing the energy absorption or minimizing the intrusion is the main concern. However, there are some other components in a vehicle structure that should have characteristics of both stiffness and flexibility. Moreover, the load paths within the structure and potential buckle modes also play an important role in efficient functioning of such components. For example, the front bumper, side frame rails, steering column, and occupant protection devices like the knee bolster should all exhibit controlled deformation and collapse behavior.
This investigation introduces a methodology to design dynamically crushed thin-walled tubular structures for crashworthiness applications. Due to their low cost, high energy absorption efficiency, and capacity to withstand long strokes, thin-walled tubular structures are extensively used in the automotive industry. Tubular structures subjected to impact loading may undergo three modes of deformation: progressive crushing/buckling, dynamic plastic buckling, and global bending or Euler-type buckling. Of these, progressive buckling is the most desirable mode of collapse because it leads to a desirable deformation characteristic, low peak reaction force, and higher energy absorption efficiency. Progressive buckling is generally observed under pure axial loading; however, during an actual crash event, tubular structures are often subjected to oblique impact loads in which Euler-type buckling is the dominating mode of deformation. This undesired behavior severely reduces the energy absorption capability of the tubular structure. The design methodology presented in this paper relies on the ability of a compliant mechanism to transfer displacement and/or force from an input to desired output port locations. The suitable output port locations are utilized to enforce desired buckle zones, mitigating the natural Euler-type buckling effect. The problem addressed in this investigation is to find the thickness distribution of a thin-walled structure and the output port locations that maximizes the energy absorption while maintaining the peak reaction force at a prescribed limit. The underlying design for thickness distribution follows a uniform mutual potential energy density under a dynamic impact event. Nonlinear explicit finite element code LS-DYNA is used to simulate tubular structures under crash loading. Biologically inspired hybrid cellular automaton (HCA) method is used to drive the design process. Results are demonstrated on long straight and S-rail tubes subject to oblique loading, achieving progressive crushing in most cases.
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