For the thermoelastic dynamic axisymmetric problem of a finite orthotropic hollow cylinder,one comes closer to reality to involve the effect of axial strain than to consider the plane strain case only.However,addition...For the thermoelastic dynamic axisymmetric problem of a finite orthotropic hollow cylinder,one comes closer to reality to involve the effect of axial strain than to consider the plane strain case only.However,additional mathematical difficulties should be encountered and a different solution procedure should be developed.By the separation of variables,the thermoelastic axisymmetric dynamic problem of an orthotropic hollow cylinder taking account of the axial strain is transformed to a Volterra integral equation of the second kind for a function of time,which can be solved efficiently and quickly by the interpolation method.The solutions of displacements and stresses are obtained. It is noted that the present method is suitable for an orthotropic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric thermal loads.Numerical comparison is made to show the effect of the axial strain on the displacements and stresses.展开更多
A simple integral transform method was presented to solve the torsional impact problem of orthotropic hollow cylinder with mixed boundary condition. The analytical solution for the torsional impact problem of the orth...A simple integral transform method was presented to solve the torsional impact problem of orthotropic hollow cylinder with mixed boundary condition. The analytical solution for the torsional impact problem of the orthotropic hollow cylinder was got. Some examples were calculated and discussed.展开更多
基金The project supported by the National Natural Science Foundation of China (10172075) and China Postdoctoral Science Foundation (20040350712)
文摘For the thermoelastic dynamic axisymmetric problem of a finite orthotropic hollow cylinder,one comes closer to reality to involve the effect of axial strain than to consider the plane strain case only.However,additional mathematical difficulties should be encountered and a different solution procedure should be developed.By the separation of variables,the thermoelastic axisymmetric dynamic problem of an orthotropic hollow cylinder taking account of the axial strain is transformed to a Volterra integral equation of the second kind for a function of time,which can be solved efficiently and quickly by the interpolation method.The solutions of displacements and stresses are obtained. It is noted that the present method is suitable for an orthotropic hollow cylinder with an arbitrary thickness subjected to arbitrary axisymmetric thermal loads.Numerical comparison is made to show the effect of the axial strain on the displacements and stresses.
基金National Natural Science Foundation ofChina( No.19972 0 41)
文摘A simple integral transform method was presented to solve the torsional impact problem of orthotropic hollow cylinder with mixed boundary condition. The analytical solution for the torsional impact problem of the orthotropic hollow cylinder was got. Some examples were calculated and discussed.
