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Can I read Finite Deformation Beam Models and Triality Theory in Dynamical Post-buckling Analysis on EtoBox?
Finite Deformation Beam Models and Triality Theory in Dynamical Post-buckling Analysis by David Yang Gao is a Engineering article available to read on EtoBox.
What is Finite Deformation Beam Models and Triality Theory in Dynamical Post-buckling Analysis about?
Two new "nitely deformed dynamical beam models are established for serious study on non-linear vibrations of thick beams subjected to arbitrarily given external loads. The total potentials of these beam models are non-convex with double-well structures, which can be used in post-buckling analysis and frictional contact problems. Dual extremum principles in unstable dynamic systems are developed. A pure complementary energy principle (in terms of the second Piola}Kirchho!'s type stress only) in "nite deformation mechanics is actually constructed. An interesting triality theory in post-buckling analysis is proved. This theory shows that if the gap function introduced by Gao and Strang in 1989 in positive, the generalized pure complementary energy has only one saddle point, which gives a global stable buckling state. However, if the gap function is negative, the generalized complementary energy may have two so-called super-critical points: the one which minimizes the pure complementary energy gives another relatively stable buckling state; and the other one which maximizes the complementary energy is a unstable buckling state. Application in unilateral buckling problem is illustrated,
Who reads Finite Deformation Beam Models and Triality Theory in Dynamical Post-buckling Analysis?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- David Yang Gao
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0020-7462)
- Published
- 2000
- Language
- EN
- Field
- Engineering (Physical Sciences)