Progress in Applied Mechanics
The Chien Wei-zang Anniversary Volume
Page
%P
777 Result(s)
within
Kai-** Yuan
English
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Article
Nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment
In this paper, nonlinear stability of thin elastic circular shallow spherical shell under the action of uniform edge moment is considered by the modified iteration method to obtain second and third approximati...
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Article
The general solution of bending of a spherical thin shallow shell with a circular hole at the center under arbitrary transverse loads
Basing several suggestions appeared in [1], we find out the general solution of the bending of a spherical thin shallow shell with a circular hole at the center. As we know, very few papers had touched upon th...
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Article
Circular shallow spherical shells with central circular hole under simultaneous actions of arbitrary unsteady temperature field and arbitrary dynamic normal load
In this paper, under assumption that temperature is linearly distributed along the thickness of the shell, we deal with problems as indicated in the title and obtain general solutions of them which are express...
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Article
The bending of elastic circular ring of non-homogeneous and variable cross section under the actions of arbitrary loads
On the basis of the stepped reduction method suggested in [1], we investigate the problem of the bending of elastic circular ring of non-homogeneous and variable cross section under the actions of arbitrary lo...
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Article
A discussion on “The large deflection problem of circular thin plate with variable thickness under uniformly distributed loads”
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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...
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Article
Equi-strength design of nonhomogeneous variable thickness high speed rotating disk under steady temperature field
Considering the mutual interaction between the thickness ofthe disk and temperature distribution, and directly using results in [1].[2] and the iteration method stage sied in this paper, we obtain the equi-str...
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Article
Correction
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Article
Bending problem of rectangular plates of unidirectional nonhomogeneity and variable thickness with two opposite edges simply supported under arbitrary distributed loads
Using the step reduction method[1,2] suggested by the first author of this paper, we investigate the problem indicated in the title and obtain the stepped approximate solutions. As an example, the case of a squar...
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Book
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Chapter
Perturbation solutions for uniformly clamped rectangular plates with large deflections
In this paper we use the perturbation method to solve the large deflection problems of uniformly loaded clamped rectangular plates. Using the maximum deflection as a perturbation parameter, we solve twelve cas...
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Article
Optimal elastic design of beams
According to the principle of minimum complementary energy a mathematical statement of optimal strength design problem for elastic beams is formulated in this research, which is an extremum problem of function...
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Chapter and Conference Paper
Recent Investigations of Structural Optimization by Analytic Methods
In this paper, we discuss two analytic methods suggested by the author for solving structural optimization problems, viz. the “stepped reduction method [1, 3–5] and a method based on the principle of complemen...
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Article
Optimal design of minimax deflection of an annular plate
The optimal design of minimax deflection of an annular plate is studied in this paper. The annular plate is subjected to an arbitrary axisymmetric loading. The problem can be posed as a standard nonlinear prog...
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Article
Uniform strength design of beams with non-zero minimum flexural rigidity under multiple loadings
The analytical method for uniform strength design (U.S.D.) of statically indeterminate beams is extended to deal with a preassigned constraint of non-zero minimum flexural rigidity and multiple load cases. And...
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Article
Analysis of composite laminated plates
In the static and dynamic analysis of composite laminates, a theory for the laminated plates is presented in this paper. Because the deflection Wb which is caused by the classical bending deformation and the defl...
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Article
Deformations and stability of spherical caps under centrally distributed pressures
In this paper the deformations and stability in large axisymmetric deflection of spherical caps under centrally distributed pressures are investigated. The Newton- spline method for solving the nonlinear equat...
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Article
Free vibration of nonlinear deformation ring-and stringer-stiffened nonuniform cylindrical shell
Cylindrical shells stiffened with rings and stringers are used in many structural applications such as pipes conveying fluids or gases and acrospace. In this paper, the general solution is obtained for free vi...
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Article
The general solution on nonlinear axial symmetrical deformation of nonhomogeneous cylindrical shells
In this paper, the general solution on nonlinear axial symmetrical deformation of nonhomogeneous cylindrical shells is obtained by step reduction method(1). The general formula of displacements and stress resulta...
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Article
An exact analytic method applied to nonhomogeneous ring- and stringer-stiffened cylindrical shells
In this paper, the nonlinear axial symmetric deformation problem of nonhomogeneous ring- and stringer-stiffened shells is first solved by the exact analytic method. An analytic expression of displacements and .....
