ZHANG Lang, LI Xue-wu, XIA Jian-zhong. A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads[J]. Applied Mathematics and Mechanics, 2013, 34(6): 630-642. doi: 10.3879/j.issn.1000-0887.2013.06.009
Citation: ZHANG Lang, LI Xue-wu, XIA Jian-zhong. A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads[J]. Applied Mathematics and Mechanics, 2013, 34(6): 630-642. doi: 10.3879/j.issn.1000-0887.2013.06.009

A Novel Method to Obtain the Elasticity Solutions of Anisotropic Plane Beam Subjected to Arbitrary Loads

doi: 10.3879/j.issn.1000-0887.2013.06.009
  • Received Date: 2013-04-17
  • Rev Recd Date: 2013-04-27
  • Publish Date: 2013-06-15
  • A novel method was given to obtain the elasticity solutions for linear anisotropic plane beam subjected to arbitrary loads with various ends conditions by solving functional equations. Comparing this general method with traditional trial-and-error method, the most advantage was that there was no need to guess the form of stress function and obtain the solutions directly. The united equations for solving boundary value problem of anisotropic plane beam were found and several examples showed the correctness of this general method. A new way was also provided to derive the elasticity solutions of plane beam subjected to arbitrary loads with various ends conditions.
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