In this paper, the nonsingular fundamental solutions were obtained from Fourier series under some given conditions. These solutions can be taken as the kernels of integral equation. So a new boundary element method wa...In this paper, the nonsingular fundamental solutions were obtained from Fourier series under some given conditions. These solutions can be taken as the kernels of integral equation. So a new boundary element method was presented, with which all kinds of thin-plate bending problems can be solved, even with complicated loadings and sinuous boundaries. The calculation is much simpler and more accurate.展开更多
In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these t...In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotrqpic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.展开更多
基金Project supported by the National Natural Science Foundation of China
文摘In this paper, the nonsingular fundamental solutions were obtained from Fourier series under some given conditions. These solutions can be taken as the kernels of integral equation. So a new boundary element method was presented, with which all kinds of thin-plate bending problems can be solved, even with complicated loadings and sinuous boundaries. The calculation is much simpler and more accurate.
文摘In the view of Reissner's and Kirchhoff's theories, respectively, we formulate the isotropicalized governing equations for the anisotropic plates, and give the proof of the equivalence relation between these two plate-models for the simply-supported rectangular orthotropic plates. The well-known fundamental solutions of the isotrqpic plates are utlized for the spline integral equation analysis of anisotropic plates.Even with sparse meshes the satisfactory results can be obtained. The analysis of plates on two-parameter elastic foundation is so simple as the common case that only a few terms should be added to the formulas of fictitious loads.
