Stability and vibrations of rectangular columns made of a compressible hyperelastic material
The stability and the small vibrations about the finitely deformed state of rectangular columns subjected to axial compressive forces are investigated. The material is assumed to be a polynomial compressible material which is homogeneous, isotropic and hyperelastic. The theory of small deformations superposed on large deformations is used in the formulation of the problem. Numerical results are provided to study the effect of some material and geometrical properties, and also to compare some of the present results with those existing in the literature.
finitely compressed by means of two rigid, well- lubricated plates
transcendental, algebraic characteristic equation
small deformations superposed on large deformations
effect of some material and geometrical properties
scientific article; zbMATH DE number 3932503
scientific article