A finite element model with nonviscous damping
A finite element model with nonviscous damping
A constitutive law by which structural damping is modeled as a relationship between stress, strain, and strain rate in a material is used in conjunction with the finite element method to develop general integral expressions for viscous and nonviscous damping matrices. To solve the set of nonlinear equations resulting from the presence of nonviscous damping, a solution technique is developed by modifying the Newmark method to accommodate an iterative solution and treat the nonviscous damping as a pseudo-force. The technique is then checked for accuracy and convergence in single- and multi-degree-of-freedom problems, and is found to be accurate and efficient for initial-condition problems with small nonviscous damping.
- Langley Research Center United States
- National Aeronautics and Space Administration United States
- Virginia Tech United States
- Old Dominion University United States
pseudoforce Newmark method, solution technique for resulting nonlinear equations of motion, structural damping functions, four-degree-of-freedom finite element cantilevered beam problem, Finite element methods applied to problems in solid mechanics, accurate in comparison with closed- form and numerical solutions, nonlinear damping as pseudoforce, convergence characteristics, Numerical methods for initial value problems involving ordinary differential equations, Vibrations in dynamical problems in solid mechanics, principle of virtual work, as accurate as Gear method numerical technique, Rods (beams, columns, shafts, arches, rings, etc.), Variational principles of physics, single-degree-of-freedom problems
pseudoforce Newmark method, solution technique for resulting nonlinear equations of motion, structural damping functions, four-degree-of-freedom finite element cantilevered beam problem, Finite element methods applied to problems in solid mechanics, accurate in comparison with closed- form and numerical solutions, nonlinear damping as pseudoforce, convergence characteristics, Numerical methods for initial value problems involving ordinary differential equations, Vibrations in dynamical problems in solid mechanics, principle of virtual work, as accurate as Gear method numerical technique, Rods (beams, columns, shafts, arches, rings, etc.), Variational principles of physics, single-degree-of-freedom problems
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