The finite element formulation for analyzing static damage near a conducting crackin a thin piezoelectric plate is established from the virtual work principle
Based on a level set model and the homogenization theory, an optimization al- gorithm for ?nding the optimal con?guration of the microstructure with speci?e
The nonlinear dynamic equations of a multibody system composed of ?exible beams are derived by using the Lagrange multiplier method. The nonlinear Euler beam th
A three-dimensional discrete element model of the connective type is presented.Moreover,a three-dimensional numerical analysis code,which can carry out the tra
A new stochastic optimal control strategy for randomly excited quasi-integrable Hamiltonian systems using magneto-rheological (MR) dampers is proposed. The dyna