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摄动DQ法分析板的大挠度热弯曲 被引量:7

LARGE DEFLECTION ANALYSIS OF PLATES UNDER THERMAL LOADING BY USING PERTURBATION DIFFERENTIAL QUADRATURE METHOD
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摘要 本文给出了求解板的大挠度热弯曲问题的摄动DQ法。该方法由二阶摄动得到板的大挠度热弯曲问题的一组线性摄动方程后运用DQ法进行求解,具有良好的计算精度和计算效率。 Large deflection analysis of plates under thermal loading is presented in this paper by using a new effective technique------perturbation differential quadrature method. By introducing the nondimensional temperature and lateral load as the perturbating parameters, a series of linear governing differential equations have been established and then are solved by means of differential quadrature method.
作者 杨杰 彭建设
出处 《工程力学》 EI CSCD 1996年第3期86-92,共7页 Engineering Mechanics
关键词 大挠度 热弯曲 摄动法 large deflection analysis, thermal bending, perturbation technique, the differential quadrature method
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同被引文献23

  • 1周华,周海兵.正交各向异性薄板的弹塑性后屈曲分析[J].湖南大学学报(自然科学版),2003,30(S1):15-17. 被引量:3
  • 2张建武,林忠钦.正交异性板的后屈曲和Karman型精化理论[J].上海交通大学学报,1994,28(4):109-114. 被引量:4
  • 3时旭东,过镇海.钢筋混凝土结构的温度场[J].工程力学,1996,13(1):35-43. 被引量:81
  • 4沈惠申,林忠钦.弹性基础上矩形板热后屈曲分析[J].工程力学,1996,13(1):66-74. 被引量:4
  • 5Bellman R, Casti J. Differential Quadrature and Long-term Integration[J ]. Journal of Math Analysis and Applications, 1971, 34(2) :235-238.
  • 6Cortinez V H. DQM for Vibration Analysis of Composite Thin-walled Curved Beams[J ]. Journal of Sound and Vibration, 2001, 246(3) :551-555.
  • 7Ming-hung Hsu. Vibration Analysis of Edge-cracked Beam on Elastic Foundation with Axial Loading Using the Differential Quadrature Metbod[J ]. Comput Methods Appl Mech Engrg, 2005,194(1) : 1-17.
  • 8Malekzadeha P, Karamib G. Polynomial and Harmonic Differential Quadrature Methods for Free Vibration of Variable Thickness Thick Skew Plates[J]. Engineering Structures 2005,27(8) : 1563-1574.
  • 9Claudio Franciosi, Stefania Tomasiello. Static Analysis of a Bickford Beam by Means of the DQEMIJ ]. International Journal of Mechanical Sciences, 2007,49( 1 ) : 122-128.
  • 10Shu C, Wu W X, Ding H, et al. Free Vibration Analysis of Plates Using Least-square-based Finite Difference Method[J ]. Computer Methods in Applied Mechanics & Engineering, 2007,10( 1 ) : 128-137.

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