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Article
Thermal post-buckling of an elastic beams subjected to a transversely non-uniform temperature rising
Based on the nonlinear geometric theory of axially extensible beams and by using the shooting method, the thermal post-buckling responses of an elastic beams, with immovably simply supported ends and subjected...
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Article
On relations between the modified-iterative method and Chien's perturbation solution
In this paper, we gave analytical formulas of characteristic relation of circular plate in solving high-order solutions of modified-iterative method, which reduces the calculating quantities of the method. Hav...
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Article
On exact solution of kármán's equations of rigid clamped circular plate and shallow spherical shell under a concentrated load
It is extremely difficult to obtain an exact solution of von Kármán's equations because the equations are nonlinear and coupled. So far many approximate methods have been used to solve the large deflection pro...
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Article
On analytical-computerized method to solve nonlinear bending problem of circular plate under a concentrated load
In this paper, we have got a procedure of the recurrence formulas of analytical solution of iteration on solving the large deflection problem of circular plate under a concentrated load by computer. By researc.....
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Article
On solving high-order solutions of Chien's perturbation method to study convergence by computer
In this paper, we have obtained the analytical formula of arbitrary n-th order perturbation solution which perturbation parameter is central deflection for circular thin plate under a concentrated load by mean...
