非线性文克尔地基上四边自由板弯曲问题的伽辽金解

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1、西安建筑科技大学硕士学位论文aredifferencesbetweenlinearelasticfoundationandnonlinearelasticfoundation,towhichmuchattentionshouldbepaidinthedesign.Withtheincreaseinsizeofload,loadincreasing,onethingthatisclearisthatrectangularplatedeflectionandbendingmomentshaveseen

2、verydifferentofimpact.Theanalyticalmethodofthispaperhasageneralsense,theoreticalbasisofthispapercanbeusedtosolvethefoursidesofrectangularplatesonlinearandnonlinearelasticfoundationsproblem,Theresultsobtainedcanbeusedforreferenceinengineeringpractice.K

3、eywords:nonlinearelasticfoundation;rectangularplatewithfourfreeedges;bending;GalerkinMethod西安建筑科技大学硕士学位论文目录1绪论.............................................................................................................................11.1工程背景........

4、...................................................................................................11.2国内外研究现状及水平...................................................................................31.3课题研究的必要性和今后的发展方向...................................

5、........................51.4常用的弹性地基模式.......................................................................................51.5本文的工作意义和主要内容.........................................................................112基本理论...............................

6、....................................................................................132.1基本假设............................................................................................................132.2基本关系式和方程的建立..................................

7、...........................................142.2.1薄板的位移分量和应变分量表达式.....................................................142.2.2薄板中的应力分量表达式.....................................................................152.2.3薄板横截面的内力表达式............................

8、.........................................152.2.4薄板弯曲的基本方程.............................................................................162.3薄板边界条件.................................................................................................1