Thesis (Ph. D.)--University of Wisconsin--Madison, 1965. / Typescript. Vita. eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references.

Thesis (M.S.)--University of Wisconsin--Madison, 1965. / eContent provider-neutral record in process. Description based on print version record. Includes bibliographical references (leaf 52).

This thesis is concerned with the determination of Internal Stress Resultants produced in different structural elements of framed structures due to harmonic disturbances. The analysis of frames under vibrating loads has so far been dealt with with physical lumping of the structural mass at the node points where the stiffness influence coefficients are defined. To improve the accuracy of the results, a consistent mass matrix approach is dealt with in few of the latest solutions giving higher degree of precision compared with the results of problems solved by lumped mass system. Keeping in mind the criteria of efficiency for solving any structural dynamic response problem, a stiffness matrix is generated which depends upon the distributed mass of the member and the frequency of vibrations of the impressed force. The stiffness influence coefficients are derived for a plane frame member of uniformly distributed mass from the general differential equation of motion under longitudinal and lateral vibrations. This concept is then extended to generate a stiffness matrix for a space frame member including torsional vibrations. The effects of rotary inertia and shear deformations being predominant for framed structures such as turbine foundations, are also included. The generated stiffness matrix is called the "Frequency and Mass Dependent Stiffness Matrix" (F.M.) which is used for the dynamic analysis of some structural problems and the results are compared with those of lumped mass and consistent mass matrix approaches. The F. M. Stiffness Matrix approach is then applied to the dynamic analysis of full size turbine foundations in comparison with other methods of solution. In this thesis major emphasis is stressed upon the dynamic analysis of turbine foundations. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

The theory underlying the design of minimum volume space frameworks is reviewed. Fundamental theorems and relations proposed and developed by Maxwell, Michell, Cox, Chan, Hemp, Johnson and Barnett are discussed and examined from a practical viewpoint. Two dimensional frames, which are close geometric approximations to the theoretical concepts of Michell, are defined and formulas established for their design and complete solution. Computer programmes are established for the analysis of pin jointed trusses having a wide range of parameters. The effect of changing parameters on the structural properties is discussed. Rigid frames are analyzed by the use of STRUDL, [STRUctural Design Language], a multi-purpose computer programme for the calculation of forces and displacements in rigid structures. The effects of biaxial stress in the joints and other deviations from the theoretical concept are examined. Comparison is made with other structural designs to establish the superiority and economy of the Michell design. Birefringent models are made, using a numerically controlled milling machine, and tested under load in a polariscope, to confirm the predicted stress levels in the members and stress concentrations in the joints. Examples are given of practical application of Michell space frames. The design of a high tension transmission tower and of a lightweight astronomical mirror support are considered. Alternative solutions to both problems are suggested to provide a basis for more detailed design. / Applied Science, Faculty of / Mechanical Engineering, Department of / Graduate

The sensitivity of a structural system to initial imperfections is known to be largely determined by the post-buckling behaviour of the ideal system and further the rate at which the load capacity of the ideal system changes near the critical load. A general non-linear stiffness matrix capable of predicting the post-buckling behaviour of structural systems is developed and tested. A procedure is formulated for predicting the stable equilibrium zones of structural systems and examples are investigated to verify the correctness of the method. / Applied Science, Faculty of / Civil Engineering, Department of / Graduate

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published_or_final_version / Civil Engineering / Master / Master of Science in Engineering

Includes bibliographical references (p. 217-227).

Thesis (Ph. D.)--University of Texas at Austin, 2002. / Vita. Includes bibliographical references.