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Nonlocal theories for bending, buckling and vibration of beams
, 2007J. Reddy
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ZAMM, 2000
The author proves completeness, minimality and basis theorems for the eigenfunctions (and associated functions, if any) of \(-(py'')''=\lambda y''\), with various boundary conditions arising in the theory of buckling of columns. As well as a selfadjoint theory (for symmetric boundary conditions) in the Sobolev space \(W_2 ^2 (0,1)\), a nonselfadjoint ...
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The author proves completeness, minimality and basis theorems for the eigenfunctions (and associated functions, if any) of \(-(py'')''=\lambda y''\), with various boundary conditions arising in the theory of buckling of columns. As well as a selfadjoint theory (for symmetric boundary conditions) in the Sobolev space \(W_2 ^2 (0,1)\), a nonselfadjoint ...
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Buckling and post-buckling behaviors of higher order carbon nanotubes using energy-equivalent model
Engineering computations, 2020N. A. Mohamed +3 more
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Buckling and Post-buckling of Beams
2017This chapter presents buckling and post-buckling analysis of straight beams under thermal and mechanical loads. The Euler and Timoshenko beam theories are considered and buckling and postbuckling behaviors are discussed. The buckling analysis of beams with piezoelectric layers is presented and the effect of piezo-control on the beam stability is ...
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