当前位置：
X-MOL 学术
›
Int. J. Numer. Meth. Eng.
›
论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
An efficient and unconditionally stable numerical algorithm for nonlinear structural dynamics
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-07-21 , DOI: 10.1002/nme.6456 Junjie Xu 1, 2 , Yuli Huang 3 , Zhe Qu 1
International Journal for Numerical Methods in Engineering ( IF 2.9 ) Pub Date : 2020-07-21 , DOI: 10.1002/nme.6456 Junjie Xu 1, 2 , Yuli Huang 3 , Zhe Qu 1
Affiliation
Funding information Scientific Research Fund of Institute of Engineering Mechanics, China Earthquake Administration, Grant Number: 2019A02 and 2017B03; Heilongjiang Touyan Innovation Team Program This paper proposes an algorithm for express solutions in nonlinear structural dynamics. Our strategy is to adopt a typical time integrator and accept the solution after a constant number of iterations using a constant Jacobianmatrix. Its successmay not be initially obvious, butwe demonstrate that the proposed algorithmnot only is fully operational but also inherits the advantages of the host time integrators such as the unconditional stability, the order of accuracy, and the numerical dissipation that helps suppress the spurious higher-mode oscillation. The use of a constant Jacobian matrix plays the key role in minimizing the computational expense associated with matrix operations. We first study the optimization of the number of iterations, then present the consistency and stability analysis followed by some examples verifying these features, and conclude by showing the exponential efficiency improvement in a response history analysis of a high-rise building fully equippedwith nonlinearities.
更新日期：2020-07-21
京公网安备 11010802027423号