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力学与实践 2007
SYMPLECTIC SOLUTION OF A RECTANGULAR BEAM SUBJECTED TO DISTRIBUTED LOAD
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Abstract:
In the symplectic system of plane elasticity in rectangular coordinates,by separating variables and abandoning the homogeneous boundary condition,the symplectic solution of a rectangular beam subjected to distributed load in a power function form is obtained.A general method for these problems is given in the symplectic system of elasticity.The rectangular beam subjected to normal or tangent load is considered. The results show that the method is effective.Displacements and stresses can be obtained directly with dual variables.By using the symplectic solution,various boundary conditions can be treated.Statically determinate problems and statically indeterminate problems can be solved directly.