Der Vortrag beschreibt die zugrunde liegende Theorie und die Softwarefunktionalität des in PTC Creo Simulate 3.0 eingeführten Kontaktmodells mit endlicher Reibung und vergleicht dieses mit den bis Creo Simulate 2.0 exklusiv verwendeten Kontaktmodellen (ideal reibungsfrei und unendlich reibungsbehaftet). An zwei Modellbeispielen (ein von zwei Bremsbacken geklemmtes Bremsschwert und ein verschraubtes Schwungrad) wird versucht, die Funktionsweise des neuen Modells zu demonstrieren. Wegen aktueller Qualitätsprobleme der Software wird die Brauchbarkeit der Kontaktmodelle für den Anwender bewertet (Stand Creo 3.0 M080 / Creo 2.0 M200) und umfangreiches Feedback an den Softwarehersteller PTC gegeben. / The presentation describes the underlying theory and software functionality of the finite friction contact model introduced with PTC Creo Simulate 3.0. It is being compared with the friction-free and infinite friction contact model used exclusively until Creo Simulate 2.0. It is being tried to demonstrate the mode of operation of the new model with help of two examples: A brake sword clamped by two brake pads and a bolted flywheel. Because of actual software quality problems, the usability of the contact model for the user is being rated (status Creo 3.0 M080 / Creo 2.0 M200). Furthermore, comprehensive feedback is given to the software developer PTC.

The major aims of this paper are to present how we can improve the students understanding and involvement in mathematics by using a programming/graphic calculator. I will use differentials as examples such as differentiation ,integrals and differential equations, creating lines of slopes for differential equation of the type y’= f(x,y) . Find the solution of some differential equations by using regression and create the graph connected to the differential equation. As we have different approaches to solving a problem, it is a hope the students interest in mathematics will improve. The tools used will be programming, graphic commands as plot, f-line, etc. One goal is also to show how we can create small programs solving problems in mathematics. For many students this will be a stepping stone for further work with programming. The programs used can be copied using the program FA 124 that can be downloaded from Casios homepages. On request I can send you the programs.

The major aims of this paper are to present how we can improve the students understanding and involvement in mathematics by using a programming/graphic calculator. I will use differentials as examples such as differentiation ,integrals and differential equations, creating lines of slopes for differential equation of the type y’= f(x,y) . Find the solution of some differential equations by using regression and create the graph connected to the differential equation. As we have different approaches to solving a problem, it is a hope the students interest in mathematics will improve. The tools used will be programming, graphic commands as plot, f-line, etc. One goal is also to show how we can create small programs solving problems in mathematics. For many students this will be a stepping stone for further work with programming. The programs used can be copied using the program FA 124 that can be downloaded from Casios homepages. On request I can send you the programs.

Der Vortrag beschreibt die zugrunde liegende Theorie und die Softwarefunktionalität des in PTC Creo Simulate 3.0 eingeführten Kontaktmodells mit endlicher Reibung und vergleicht dieses mit den bis Creo Simulate 2.0 exklusiv verwendeten Kontaktmodellen (ideal reibungsfrei und unendlich reibungsbehaftet). An zwei Modellbeispielen (ein von zwei Bremsbacken geklemmtes Bremsschwert und ein verschraubtes Schwungrad) wird versucht, die Funktionsweise des neuen Modells zu demonstrieren. Wegen aktueller Qualitätsprobleme der Software wird die Brauchbarkeit der Kontaktmodelle für den Anwender bewertet (Stand Creo 3.0 M080 / Creo 2.0 M200) und umfangreiches Feedback an den Softwarehersteller PTC gegeben. / The presentation describes the underlying theory and software functionality of the finite friction contact model introduced with PTC Creo Simulate 3.0. It is being compared with the friction-free and infinite friction contact model used exclusively until Creo Simulate 2.0. It is being tried to demonstrate the mode of operation of the new model with help of two examples: A brake sword clamped by two brake pads and a bolted flywheel. Because of actual software quality problems, the usability of the contact model for the user is being rated (status Creo 3.0 M080 / Creo 2.0 M200). Furthermore, comprehensive feedback is given to the software developer PTC.

Cilia and flagella are hair-like appendages of eukaryotic cells. They are actively bending structures that exhibit regular beat patterns and thereby play an important role in many different circumstances where motion on a cellular level is required. Most dramatic is the effect of nodal cilia whose vortical motion leads to a fluid flow that is directly responsible for establishing the left-right axis during embryological development in many vertebrate species, but examples range from the propulsion of single cells, such as the swimming of sperm, to the transport of mucus along epithelial cells, e.g. in the ciliated trachea. Cilia and flagella contain an evolutionary highly conserved structure called the axoneme, whose characteristic architecture is based on a cylindrical arrangement of elastic filaments (microtubules). In the presence of a chemical fuel (ATP), molecular motors (dynein) exert shear forces between neighbouring microtubules, leading to a bending of the axoneme through structural constraints. We address the following two questions: How can these organelles generate regular oscillatory beat patterns in the absence of a biochemical signal regulating the activity of the force generating elements? And how can the beat patterns be so different for apparently very similar structures? We present a theoretical description of the axonemal structure as an actively bending elastic cylinder, and show that in such a system bending waves emerge from a non-oscillatory state via a dynamic instability. The corresponding beat patterns are solutions to a set of coupled partial differential equations presented herein.

Cilia and flagella are hair-like appendages of eukaryotic cells. They are actively bending structures that exhibit regular beat patterns and thereby play an important role in many different circumstances where motion on a cellular level is required. Most dramatic is the effect of nodal cilia whose vortical motion leads to a fluid flow that is directly responsible for establishing the left-right axis during embryological development in many vertebrate species, but examples range from the propulsion of single cells, such as the swimming of sperm, to the transport of mucus along epithelial cells, e.g. in the ciliated trachea. Cilia and flagella contain an evolutionary highly conserved structure called the axoneme, whose characteristic architecture is based on a cylindrical arrangement of elastic filaments (microtubules). In the presence of a chemical fuel (ATP), molecular motors (dynein) exert shear forces between neighbouring microtubules, leading to a bending of the axoneme through structural constraints. We address the following two questions: How can these organelles generate regular oscillatory beat patterns in the absence of a biochemical signal regulating the activity of the force generating elements? And how can the beat patterns be so different for apparently very similar structures? We present a theoretical description of the axonemal structure as an actively bending elastic cylinder, and show that in such a system bending waves emerge from a non-oscillatory state via a dynamic instability. The corresponding beat patterns are solutions to a set of coupled partial differential equations presented herein.

Kleine Moleküle wie Treibhausgase, aber auch Distickstoff und Disauerstoff stehen im Fokus der chemischen Forschung. Solche Moleküle sind durch ihr Vorkommen in der Atmosphäre ubiquitär vorhanden, preiswert und könnten als Synthesebausteine für die Darstellung von komplexeren Molekülen verwendet werden. In dieser Arbeit wurde die Reaktion koordinativ ungesättigter Diketiminato-Nickelkomplexe ([LNi] Komplexe) mit kleinen Molekülen untersucht. Zunächst wurden die Mechanismen der N2-Aktivierung durch reduzierte [LtBuNiI]- und [LMe6NiI] Komplexe miteinander verglichen. Dabei konnte das distickstoffaktivierende Schlüsselintermediat identifiziert und strukturell charakterisiert werden. Weiter wurden die N2-Komplexe [(LtBuNiI)( 1 1 N2)] bzw. K2[(LtBuNiI)( 1 1 N2)], die Vorläufer für [LNiI]- und [LNi0]– Komplexfragmente darstellen, hinsichtlich ihrer Potentials zur Aktivierung der reaktionsträgen Treibhausgase SF6 und NF3 untersucht. Über Reaktionen von Übergangsmetallkomplexen mit NF3 war bis dahin noch nicht berichtet worden; zur Umsetzung von SF6 existierten wenige Publikationen, in denen aber sehr viele mechanistische Fragen offengeblieben sind. Die Mechanismen der SF6- und NF3-Aktivierung wurden durch Kombination einer Vielzahl von ex- und in situ Analysen beleuchtet. Im Falle der SF6 Aktivierung gelang es zudem, ein Nickel(I)-Intermediat zu isolieren. Ein Produkt beider Systeme war der Fluorido-Nickel(II)-Komplex [LtBuNiIIF], dessen Reaktionsverhalten ebenfalls studiert wurde. Doch nicht nur Komplexe mit Nickelatomen in niedrigen Oxidationsstufen erwiesen sich für die Aktivierung kleiner Moleküle geeignet, sondern auch kationische [LtBuNiII(D)]+-Komplexe. Diese Nickel(II)-Komplexe reagierten mit fluorierten Molekülen, N2O sowie O2, was bemerkenswert ist, da Nickel(II)-Komplexe üblicherweise inert gegenüber O2 sind. Im Zuge der O2-Studien wurde ein metastabiler Oranoperoxidkomplex isoliert und strukturell charakterisiert, was beispiellos in der Literatur ist. / Current research focuses on the activation of small molecules like greenhouse gases, thermodynamically stable molecules like N2 and kinetically stabilized molecules like O2, which are all abundant in the atmosphere. Thus, it appears to be alluring to use them as cheap and readily available building blocks for the synthesis of value-added compounds. This dissertation deals with the reaction of low-coordinate diketiminate nickel complexes [LNi] and such small molecules. Initially, the mechanisms of the dinitrogen activation by reduced [LtBuNiI] and [LMe6NiI] complexes were studied. As a result, the key intermediate [(LtBuNiI)x(3 Br)xKx] (x > 1) was identified and structurally characterized. Subsequently, the nickel complexes [(LtBuNiI)( 1 1 N2)] and K2[(LtBuNiI)( 1 1 N2)], which represent sources for [LtBuNiI] and [LtBuNi0]– moieties, were applied to the activation of the inert, but very efficient greenhouse gases SF6 and NF3. Prior to these investigations, no transition metal complex had been reported to react with NF3. Publications dealing with the conversion of SF6 had been scarce, too, while at same time, the mechanisms involving its activation had been speculative. The mechanisms of the NF3 and SF6 activation reactions were deduced combining numerous ex-situ and in situ analytical methods. In case of the SF6 activation, even an intermediate could be isolated. In both systems, the nickel fluoride complex [LtBuNiIIF] was formed and its reaction behaviour was also studied. Furthermore, not only [LtBuNiI]- and [LtBuNi0]– moieties proved to be reactive towards small molecules, but also cationic [LtBuNiII(D)]+ complexes, which were specifically developed for this purpose. The reactions of [LtBuNiII(D)]+ complexes with fluorinated molecules (e. g. PhF, NF3), O2 and N2O were studied. In course of the O2 activation, a metastable organoperoxide complex was isolated and structurally characterized, which is unparalleled in the literature.