Fictitious Time Step for the Kinetic Dynamic Relaxation Method

被引：12
|
作者：
Rezaiee-Pajand, M. [1 ]
Rezaee, H. [1 ]
机构：
[1] Ferdowsi Univ Mashhad, Dept Civil Engn, Mashhad, Iran
来源：
MECHANICS OF ADVANCED MATERIALS AND STRUCTURES | 2014年 / 21卷 / 08期
关键词：
geometric nonlinear behavior; kinetic damping; fictitious time step; dynamic relaxation; efficiency; displacement error; POSTBUCKLING ANALYSIS; STRUCTURAL-ANALYSIS; PRESTRESSED NETS; PLATES; FORM;
D O I：
10.1080/15376494.2012.699603
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Dynamic relaxation (DR) is an iterative method for solving simultaneous sets of equations, which govern the behavior of static structures. One of the most effective techniques in this category is the kinetic damping approach. In this research, a new formula for the fictitious time step is obtained by error analysis to utilize in the kinetic DR method. The developed algorithm is applied to the nonlinear analysis of several plane- and space-trusses, and also structural frames. Numerical results indicate that the proposed fictitious time step has a significant effect on improving the convergence rate of the kinetic DR method.
引用
收藏
页码：631 / 644
页数：14
相关论文
共 50 条
  • [41] Applications of the fictitious time integration method using a new time-like function
    Ku, C.-Y.
    Yeih, Weichung
    Liu, C.-S.
    Chi, C.-C.
    CMES - Computer Modeling in Engineering and Sciences, 2009, 43 (02): : 173 - 190
  • [42] Applications of the Fictitious Time Integration Method Using a New Time-Like Function
    Ku, Cheng-Yu
    Yeih, Weichung
    Liu, Chein-Shan
    Chi, Chih-Chang
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 43 (02): : 173 - 190
  • [43] Explicit dynamic analysis using Dynamic Relaxation method
    Namadchi, Amir Hossein
    Alamatian, Javad
    COMPUTERS & STRUCTURES, 2016, 175 : 91 - 99
  • [44] Fictitious forces and electronic energy relaxation in nanocrystals
    Yang, HS
    Geller, MR
    JOURNAL OF LUMINESCENCE, 1999, 83-4 : 317 - 320
  • [45] A fictitious time integration method for solving delay ordinary differential equations
    Liu, Chein-Shan
    Computers, Materials and Continua, 2009, 10 (01): : 97 - 116
  • [46] TIMESTEP SELECTION FOR DYNAMIC RELAXATION METHOD
    Rezaiee-Pajand, M.
    Kadkhodayan, M.
    Alamatian, J.
    MECHANICS BASED DESIGN OF STRUCTURES AND MACHINES, 2012, 40 (01) : 42 - 72
  • [47] DYNAMIC METHOD OF INVESTIGATING RELAXATION PROCESSES
    TROFIMOV, VS
    COMBUSTION EXPLOSION AND SHOCK WAVES, 1981, 17 (05) : 564 - 571
  • [48] A fictitious time integration method for backward advection-dispersion equation
    Grid Application Division, National Center for High-Performance Computing, Taichung 40763, Taiwan
    不详
    CMES Comput. Model. Eng. Sci., 2009, 3 (261-276):
  • [49] Applications of the local RBF collocation method and the fictitious time integration method for Burgers' equations
    Fan, Chia-Ming
    Yang, Chi-Hung
    Gu, Meng-Huang
    37TH NATIONAL CONFERENCE ON THEORETICAL AND APPLIED MECHANICS (37TH NCTAM 2013) & THE 1ST INTERNATIONAL CONFERENCE ON MECHANICS (1ST ICM), 2014, 79 : 569 - 574
  • [50] A Fictitious Time Integration Method for Backward Advection-Dispersion Equation
    Chang, Chih-Wen
    Liu, Chein-Shan
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 51 (03): : 261 - 276
12345