期刊文献+

结构动力分析中几种逐步积分法在负刚度条件下的收敛性和稳定性 被引量:6

CONVERGENCE AND STABILITY OF SEVERAL STEP-BY-STEP INTEGRATION METHODS IN STRUCTURAL DYNAMIC ANALYSIS IN CASE OF NEGATIVE-STIFFNESS
下载PDF
导出
摘要 本文研究了负刚度条件下中心差分法、Z-变换法、Wilson θ法以及二步Adams显式方法的收敛性及稳定性。在负刚度条件下,这几种方法都是收敛的,中心差分法、Z-变换法及二步Adams显式方法是无条件稳定的,而Wilson θ法则是条件稳定的。 The convergence and the stability of central difference method, Z-transformation method, Wilson θ method and two-step adams-bashforth method have been studied in this paper for the model with the negative-stiffness. In the case of the negative-stiffness, these methods are convergent. Under the negative-stiffness, central difference method, Z-transformation method and two-step adams-bashforth method are unconditionally stable, but WilsonθMethod is conditionally stable.
作者 程民宪
机构地区 清华大学
出处 《工程力学》 EI CSCD 1989年第2期35-47,共13页 Engineering Mechanics
关键词 结构 动力分析 逐步积分法 负刚度 Convergence, absolute stability, relative stability, principle root, extraneous root, positive-stiffness, negative-stiffness.
  • 相关文献

参考文献1

  • 1王亚勇,陶夏新.强震加速度记录数据处理及应用——美国南加州大学地震工程研究的某些新进展[J]地震工程动态,1984(02).

同被引文献29

  • 1吴云芳,肖明葵.一种积分法在负刚度条件下的收敛性和稳定性[J].重庆建筑大学学报,2000,22(z1):133-138. 被引量:1
  • 2李小军.地震工程中动力方程求解的逐步积分方法[J].工程力学,1996,13(2):110-118. 被引量:16
  • 3李大华.计算地震反应谱的连锁公式[J].地震工程与工程振动,1990,10(2):47-52. 被引量:14
  • 4周基岳 刘南科.钢筋混凝土框架非线性分析中的截面弯距-曲率关系[J].重庆建工学院学报,1984,6(2):20-35.
  • 5程民宪.负刚度条件下数值积分的收敛性和稳定性.力学学报,1988,.
  • 6XIE Y M. On the accuracy of time-stepping schemes for dynamic problems with negative stiffness [ J ]. Communications in Numerical Methods in Engineer- ing, 1993, 9(2): 131 -137.
  • 7BATHE K J. Finite element procedures [ M ]. New Jersey: Prentice-Hall, 1996, 806 - 810.
  • 8ZIENKIEWICZ O C, TAYLOR R L, ZHU J Z. The finite element method, Volumn 1 : the basis [M]. 6th ed. Ox- ford : Butterworth-Heinemann, 2005:606 - 611.
  • 9CHOPRA A K. Dynamics of structures: theory and applications to earthquake engineering [ M ].2nd ed. Beijing: Tsinghua University Press, 2005 : 174 - 178.
  • 10Ciampi V,De Angelis M, Paolacci F. Desigen of yielding or friction-based dissipative bracings for seismic protection of buildings[J]. Engineering Structures, 1995, 17(5): 381-391.

引证文献6

二级引证文献16

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部