Stiffness Matrix of Nonlinear FEM Equilibrium Equation
Copyright policy )Stiffness Matrix of Nonlinear FEM Equilibrium Equation
AbstractFor structural stability analysis, either tangent stiffness matrix or secant stiffness matrix is used depending on different situations. In this study, the general mathematic relationship between structural secant and tangent stiffness matrices is developed in detail based on Taylor series expression of the total potential energy. The result is important to the analysis of structural nonlinear stability. Moreover, it can be used not only in finite element method but also Rayleigh-Ritz method, Galerkin method, etc.
- Shandong Women’s University China (People's Republic of)
- Shandong University China (People's Republic of)
- Shandong Jianzhu University China (People's Republic of)
FEM equilibrium equation, secant stiffness matrix, geometric nonlinearity, tangent stiffness matrix, Engineering(all)
FEM equilibrium equation, secant stiffness matrix, geometric nonlinearity, tangent stiffness matrix, Engineering(all)
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