A Unified Proof of Oscillation Property for Discrete Euler Beam Models
(0) Oscillation property (OP) is a fundamental qualitative property for free vibrations of single span one-dimensional continuums,such as bars,torque bars,Euler beams.To avoid qualitative errors in numerical methods,reasonable discretization of these continuums should maintain the property.In previous researches,the discrete OP is discussed more essentially by means of matrix factorization.Besides,the discussions are model-specific and lack of uniformity.In this paper,another approach is proposed to discuss OP through an equivalent statics qualitative property.In this alternative approach,OP of some commonly used discrete models of beams is proved uniformly with an assumption.It is found that the 2-nodes finite element beams via Heilinger-Reissener principle (HR-FE beams) as well as the 5-points finite difference (FD) beams possess this property unconditionally,while the 2 nodes finite element beams via potential energy principle (PE-FE beams) possess the property conditionally.
oscillation property finite element beam finite difference beam
Zheng ZJ Chen P Wang DJ
Department of Mechanics and Engineering Science & LTCS,College of Engineering,Peking University,5＃,Yiheyuan Street,Beijing 100871,China
国内会议
重庆
英文
1-14
2012-11-22（万方平台首次上网日期，不代表论文的发表时间）