Evaluation of numerical integration methods in elastodynamics

摘要: Abstract One-step algorithms are compared for the direct time integration of spatially discretized equations linear elastodynamics. Explicit and implicit methods evaluated stability accuracy in terms frequency spectrum continuum as well discrete solution. The closed form a bar beam given to illustrate inherent errors spatial discretization. Additional scheme interpreted modes. Newmark family second-order difference approximations is found superior either original or extended Wilson methods, that Houboult. Less than half many steps required comparable accuracy. If an upper bound on highest system found, optimum algorithm step can be rather usual selection algorithm. algorithmic damping admitted by controlled “linear artificial viscosity” smooth shock discontinuities without excessive Houboult methods. implications these wave propagation problems illustrated.