This course is about the applications of variational principles including the topics: Principle of minimum potential energy; Principle of minimum complementary energy; Ritz method; Galerkin method; Kantonowitch method; Treffiz method; Hellinger-Reissner principle; Hu-washizu principle; Lagrange multiplier; High order Lagrange multiplier; Variational principle of non-linear elasticity; Methods for establishing generalized variational principle; Variational principle and the relating theorems in limit analysis; In addition, the applications for FEM for limit analysis, finding solutions and deriving the formulas.
Intended Learning Outcomes
CILO-1: Apply knowledge on variational principles to solve engineering problems in electromechanical engineering.
CILO-2: Identify and analyze different engineering problems using different methods including Ritz method; Galerkin method; Kantonowitch method, etc.
CILO-3: Utilize FEM for the applications in electromechanical engineering.