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Analysis of Geometrically Nonlinear Structures
Analysis of Geometrically Nonlinear Structures Author:Robert Levy, William R. Spillers This practical monograph is the only volume devoted exclusively to the design and analysis of structures in which nonlinear effects are critical. Following a general overview focusing on the phenomena of geometric nonlinearities, the authors detail a hierarchy of discrete and continuous systems, from trusses to frames and from beams to a... more » membrane finite element. They discuss topics including linear structural analysis, exact analysis of trusses, nonlinear analysis of membranes, plane frames and space frames, cablenets and fabric structures and three-dimensional beam-columns. Appendices provide information on determinants, the rotatin matrix, perturbation methods applied to plane beams, member stiffness when beam-column effects are included and graphics on a PC. An invaluable teaching and design tool, the text is accompanied by a FORTRAN disk accessible to PCs running DOS, and it presents computer programs as integral, both in the classroom and in the workplace. Taking the first unified approach to geometric nonlinearities, this book allows readers to: * analyze and design cable nets and fabric structures * incorporate exact computer analysis as a replacement for approximate buckling methods * approach nonlinear structural analysis as a simple application of Newton's method by employing perturbation theory« less