國立台灣海洋大學河海工程 研究所 BEM2004 第 8 次作業 博三 錢榮芳 D 博一 周家慶 D 碩一 吳安傑 M 碩一 李文愷 M Filename: BEM ppt by A. C. Wu 單雙層解法

Fixed end L Governing equation: Boundary conditions: Solved problem.

Solve the exact solution of cantilever case subject to the end moment and shear. Solve the exact solution by using mathematic software (Mathematica). DSolve[{u’’’’[x]==0,u[0]==0,u’[0]==0,u’’[L]==M 0,u’’’[L]=F 0 },u[x],x] →{{u[x]→1/6(-3Lx 2 F 0 +x 3 F 0 +3x 2 M 0 )}} Solve the exact solution by using direct method.

域外點的積分方程式 x>1 or x<0

Solve the problem by the indirect method. By choosing. Case 1 s=0,s=1 (by A. C. Wu)

Case 2 s=-1,s=2 (by 錢榮芳 )

Case 3 s=2,s=4 (by 周家慶 )

Case 4 s=-1,s=-3 (by 李文愷 )

Detect the rank of [A] matrix. Case 1 s=0,s=1 (by A. C. Wu) Case 2 s=-1,s=2 (by 錢榮芳 )

Case 3 s=2,s=4 (by 周家慶 ) Case 4 s=-1,s=-3 (by 李文愷 )

Indirect method for 1-D beam problem

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