Eigen elastic mechanics and its variation principle
(College of Resources, Environment and Civil Engineering,
Central South University, Changsha 410083, P.R.China)
Central South University, Changsha 410083, P.R.China)
Abstract: The fundamental equations and the corresponding boundary condition of elastic mechanics under mechanical representation are given by using the conception of eigen space and elastic variation principle. It is proved theoretically that the solution of anisotropic elastic mechanics consists of modal ones, which are obtained respectively from the modal equation of the different subspaces. A simple application is also given.
Key words: anisotropy; eigen elastic mechanics; variation principle; modal equation