太原科技大学学报
太原科技大學學報
태원과기대학학보
JOURNAL OF TAIYUAN UNIVERSITY OF SCIENCE AND TECHNOLOGY
2014年
2期
141-146
,共6页
微分求积%状态分析%板%空间状态法
微分求積%狀態分析%闆%空間狀態法
미분구적%상태분석%판%공간상태법
differential quadrature%static analysis%panel%state space method
传统的空间状态法较难分析边界条件为一对边简支而另一对边任意约束的圆柱板。为此,本文利用微分求积法建立该边界条件的三维静态圆柱板的控制微分方程,推导出任意离散点的状态方程,进而求解出不同边界条件的位移和应力。最后,通过数值计算分析验证了该方法的可行性。
傳統的空間狀態法較難分析邊界條件為一對邊簡支而另一對邊任意約束的圓柱闆。為此,本文利用微分求積法建立該邊界條件的三維靜態圓柱闆的控製微分方程,推導齣任意離散點的狀態方程,進而求解齣不同邊界條件的位移和應力。最後,通過數值計算分析驗證瞭該方法的可行性。
전통적공간상태법교난분석변계조건위일대변간지이령일대변임의약속적원주판。위차,본문이용미분구적법건립해변계조건적삼유정태원주판적공제미분방정,추도출임의리산점적상태방정,진이구해출불동변계조건적위이화응력。최후,통과수치계산분석험증료해방법적가행성。
The three-dimensional solution for static analysis of cross-ply cylindrical panel is presented by using dif-ferential quadrature method and Fourier series approach. The panel is assumed to be simply-supported at one pair of opposite edges and arbitrary conditions at the other pair. Applying the DQM to the governing differential equa-tions and to the boundary conditions along the axial or circumferential directions,new state equations on state varia-bles at discrete points are derived. Displacement and stress fields according to the various kinds of edges conditions are obtained by solving these state equations. The method is validated by comparing numerical results for the sim-ply-supported edges with that available in the literature.