Collocation, dissipation and [overshoot] for time integration schemes in structural dynamics
نویسندگان
چکیده
منابع مشابه
Implicit-explicit higher-order time integration schemes for computations of structural dynamics with fluid-structure interaction
In this paper higher order implicit Runge-Kutta schemes are applied to fluid-structure interaction (FSI) simulations. A staggered approach with a structural predictor is applied to an FSI problem. The equations governing the dynamics of the structure are integrated in time by the Explicit Single Diagonal Implicit Runge-Kutta (ESDIRK) schemes and the arbitrary high order finite volume scheme is ...
متن کاملInsight into an implicit time integration scheme for structural dynamics
0045-7949/$ see front matter 2012 Elsevier Ltd. A doi:10.1016/j.compstruc.2012.01.009 ⇑ Corresponding author. E-mail address: [email protected] (K.J. Bathe). In Refs. [1,2], an effective implicit time integration scheme was proposed for the finite element solution of nonlinear problems in structural dynamics. Various important attributes were demonstrated. In particular, it was shown that the scheme ...
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Micropolar plasticity provides the capability to carry out post-failure simulations of geo-structures due to microstructural considerations and embedded length scale in its formulation. An essential part of the numerical implementation of a micropolar plasticity model is the integration of the rate constitutive equations. Efficiency and robustness of the implementation hinge on the type of int...
متن کاملNumerical Integration in Structural Dynamics
where x is a vector of displacements of structural coordinates, M is a positive definite mass matrix, C is a non-negative definite damping matrix, and K is a non-negative definite stiffness matrix. The nonlinear restoring forces are given in R(x, ẋ) and f ext(t) is a vector of external dynamic loads. At any point in time, t = ti+1 = (i+ 1)h, we may solve for the accelerations in terms of the di...
متن کاملcomparison of two integration schemes for a micropolar plasticity model
micropolar plasticity provides the capability to carry out post-failure simulations of geo-structures due to microstructural considerations and embedded length scale in its formulation. an essential part of the numerical implementation of a micropolar plasticity model is the integration of the rate constitutive equations. efficiency and robustness of the implementation hinge on the type of inte...
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ژورنال
عنوان ژورنال: Earthquake Engineering & Structural Dynamics
سال: 1978
ISSN: 0098-8847,1096-9845
DOI: 10.1002/eqe.4290060111