LARGE DEFLECTION PROBLEM OF THIN ORTHOTROPIC CIRCULAR PLATE ON ELASTIC FOUNDATION WITH VARIABLE THICKNESS UNDER UNIFORM PRESSURE

ＬＡＲＧＥＤＥＦＬＥＣＴＩＯＮＰＲＯＢＬＥＭＯＦＴＨＩＮＯＲＴＨＯＴＲＯＰＩＣＣＩＲＣＵＬＡＲＰＬＡＴＥＯＮＥＬＡＳＴＩＣＦＯＵＮＤＡＴＩＯＮＷＩＴＨＶＡＲＩＡＢＬＥＴＨＩＣＫＮＥＳＳＵＮＤＥＲＵＮＩＦＯＲＭＰＲＥＳＳＵＲＥ（王嘉新）（刘杰）ＬＡＲＧ...     

SPATIAL－TEMPORAL DISCRETE COORDINATION OF FEM AND DIRECT INTEGRAL METHOD FOR TRANSIENT DYNAMIC PROBLEMS

ＳＰＡＴＩＡＬ－ＴＥＭＰＯＲＡＬＤＩＳＣＲＥＴＥＣＯＯＲＤＩＮＡＴＩＯＮＯＦＦＥＭＡＮＤＤＩＲＥＣＴＩＮＴＥＧＲＡＬＭＥＴＨＯＤＦＯＲＴＲＡＮＳＩＥＮＴＤＹＮＡＭＩＣＰＲＯＢＬＥＭＳＷａｎｇＨｕａｉ－ｚｈｏｎｇ（王怀忠）（ＳｈａｎｇｈａｉＵｎｉｖｅｒ...     

ACTUATION OF SLOSHING MODULATED FORCE AND MOMENT ON LIQUID CONTAINER DRIVEN BY JITTER ACCELERATIONS ASSOCIATED WITH SIEW MOTION IN MICROGRAVITY

ＡＣＴＵＡＴＩＯＮＯＦＳＬＯＳＨＩＮＧＭＯＤＵＬＡＴＥＤＦＯＲＣＥＡＮＤＭＯＭＥＮＴＯＮＬＩＱＵＩＤＣＯＮＴＡＩＮＥＲＤＲＩＶＥＮＢＹＪＩＴＴＥＲＡＣＣＥＬＥＲＡＴＩＯＮＳＡＳＳＯＣＩＡＴＥＤＷＩＴＨＳＩＥＷＭＯＴＩＯＮＩＮＭＩＣＲＯＧＲＡＶＩＴＹＲ...     

INCREASING PROPERTY OF SPECTRUM IN THE VIBRATIONS OF A CYCLIC CHAIN OF MASSES DISTRIBUTED ACCORDING TO THE GTM SEQUENCE

ＩＮＣＲＥＡＳＩＮＧＰＲＯＰＥＲＴＹＯＦＳＰＥＣＴＲＵＭＩＮＴＨＥＶＩＢＲＡＴＩＯＮＳＯＦＡＣＹＣＬＩＣＣＨＡＩＮＯＦＭＡＳＳＥＳＤＩＳＴＲＩＢＵＴＥＤＡＣＣＯＲＤＩＮＧＴＯＴＨＥＧＴＭＳＥＱＵＥＮＣＥＳｈａｎｇＰｅｎｇｊｉａｎ（商朋见）（Ｄｅｐａｒ...     

AN ANALYTICAL SOLUTION OF HEAT CONDUCTION ON A LOCALLY NONUNIFORMLY HEATED SURFACE OF A PLATE WITH FINITE THICKNESS

ＡＮＡＮＡＬＹＴＩＣＡＬＳＯＬＵＴＩＯＮＯＦＨＥＡＴＣＯＮＤＵＣＴＩＯＮＯＮＡＬＯＣＡＬＬＹＮＯＮＵＮＩＦＯＲＭＬＹＨＥＡＴＥＤＳＵＲＦＡＣＥＯＦＡＰＬＡＴＥＷＩＴＨＦＩＮＩＴＥＴＨＩＣＫＮＥＳＳ（王明锐）（靳辉）ＡＮＡＮＡＬＹＴＩＣＡＬＳＯＬＵＴＩ...     

ASYMPTOTIC ANALYSIS OF A CLASS OF NONLINEAR OSCILLATION EQUATION IN ELECTRICAL ENGINEERING

ＡＳＹＭＰＴＯＴＩＣＡＮＡＬＹＳＩＳＯＦＡＣＬＡＳＳＯＦＮＯＮＬＩＮＥＡＲＯＳＣＩＬＬＡＴＩＯＮＥＱＵＡＴＩＯＮＩＮＥＬＥＣＴＲＩＣＡＬＥＮＧＩＮＥＥＲＩＮＧＣｈｅｎｇＹｏｕ－ｌｉａｎｇ（程友良）（ＤｅｐａｒｔｍｅｎｔｏｆＦｕｎｄａｍｅｎｔａｌＣｏｕ...     

ANALYTICAL SOLUTION OF RADIATED SOUND PRESSURE OF RING－STIFFENED CYLINDRICAL SHELLS IN FLUID MEDIUM

ＡＮＡＬＹＴＩＣＡＬＳＯＬＵＴＩＯＮＯＦＲＡＤＩＡＴＥＤＳＯＵＮＤＰＲＥＳＳＵＲＥＯＦＲＩＮＧ－ＳＴＩＦＦＥＮＥＤＣＹＬＩＮＤＲＩＣＡＬＳＨＥＬＬＳＩＮＦＬＵＩＤＭＥＤＩＵＭＸｉｅＧｕａｎｍｏ（谢官员模）ＬｕｏＤｏｎｇｐｉｎｇ（骆东平）（Ｒｅｃｅｉｖ...     

Application of the probabilistic fracture mechanics method of predicting the fatigue life of tubular joints

ＡＰＰＬＩＣＡＴＩＯＮＯＦＴＨＥＰＲＯＢＡＢＩＬＩＳＴＩＣＦＲＡＣＴＵＲＥＭＥＣＨＡＮＩＣＳＭＥＴＨＯＤＯＦＰＲＥＤＩＣＴＩＮＧＴＨＥＦＡＴＩＧＵＥＬＩＦＥＯＦＴＵＢＵＬＡＲＪＯＩＮＴＳＮｉｅＧｕｏ－ｈｕａ（聂国华）ＷｅｎｇＺｈｉ－ｙｕａｎ（翁智远）...     

CONSTRUCTION OF MODIFIED TAYLOR－GALERKIN FINITE ELEMENTS AND ITS APPLICATION IN COMPRESSIBLE FLOW COMPUTATION

ＣＯＮＳＴＲＵＣＴＩＯＮＯＦＭＯＤＩＦＩＥＤＴＡＹＬＯＲ－ＧＡＬＥＲＫＩＮＦＩＮＩＴＥＥＬＥＭＥＮＴＳＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＩＮＣＯＭＰＲＥＳＳＩＢＬＥＦＬＯＷＣＯＭＰＵＴＡＴＩＯＮＣＯＮＳＴＲＵＣＴＩＯＮＯＦＭＯＤＩＦＩＥＤＴＡＹＬＯＲ...     

QUASI－FLOW CORNER THEORY ON LARGE PLASTIC DEFORMATION OF DUCTILE METALS AND ITS APPLICATIONS

ＱＵＡＳＩ－ＦＬＯＷＣＯＲＮＥＲＴＨＥＯＲＹＯＮＬＡＲＧＥＰＬＡＳＴＩＣＤＥＦＯＲＭＡＴＩＯＮＯＦＤＵＣＴＩＬＥＭＥＴＡＬＳＡＮＤＩＴＳＡＰＰＬＩＣＡＴＩＯＮＳＨｕＰｉｎｇ（胡平）ＬｉｕＹｕｑｉ（柳玉启）ＧｕｏＷｅｉ（郭威）ＴａｉＦｅｎｇ（台风）（Ｒ...     

Nonlinear three-dimension analysis for axially symmetrical circular plates and multilayered plates

Analytic nonlinear three-dimension solutions are presented for axially symmetrical homogeneous isotropic circular plates and multilayered plates with rigidly clamped boundary conditions and under transverse load.The geometric nonlinearily from a moderately large deflection is considered.A developmental perturbation method is used to solve the complicated nonlinear three-dimension differential equations of equilibrium.The basic idea of this perturbation method is using the two-dimension solutions as a basic form of the corresponding three-dimension solutions,and then processing the perturbation procedure to obtain the three-dimension perturbation solutions.The nonlinear three-dimension results in analytic expressions and in numerical forms for ordinary plates and multilayered plates are presented.All of the plate stresses are shown in figures.The results show that this perturbation method used to analyse nonlinear three-dimension problems of plates is effective.     

Free vibrations of multilayered doubly curved shells based on a mixed variational approach and global piecewise-smooth functions

This paper presents the extension of a two-dimensional model that, recently appeared in literature, deals with freely vibrating laminated plates. The extension takes into account the corresponding theory describing the dynamic of freely vibrating multilayered doubly curved shells. The relevant governing differential equations, associated boundary conditions and constitutive equations are derived from one of Reissner’s mixed variational theorems. Both the governing differential equations and the related boundary conditions are presented in terms of resultant stresses and displacements. In spite of the multi-layer nature of the shell, the theory is developed as if the shell were virtually made of a single layer. This choice does not limit the performances of the model, which are comparable to the corresponding three-dimensional theory. This ability is accomplished by an appropriate global expansion of the relevant kinetic and stress quantities, through the thickness of the multilayered shell. The mentioned expansion is realized by a novel selection of global piecewise-smooth functions. Numerical tests illustrate the performance of the model with respect to several elements subjected to a class of simply supported boundary conditions: plates, circular cylindrical shells, spherical and saddle-shape laminates. The model is first tested by comparing its resulting eigen-parameters, with those few existing of exact or approximate three-dimensional models and, finally, new results are provided for several geometrical and material characteristics for plates and shells.     

Lateral Contraction in Theories of Multilayered Shells and Plates

A method is proposed to exactly satisfy all the constitutive equations for a layer material under conditions of their contact and conditions on the outside surfaces. In the well-known continuum models of deformation of multilayered plates and shells, the relationship between the transverse normal stresses and strains is integral only. This method increases considerably the order of differentiation of the working system of equations     

Three-dimensional analysis of the coupled thermo-piezoelectro-mechanical behaviour of multilayered plates using the differential quadrature technique

This paper investigates the behaviour of multilayered composite plates subject to thermo-piezoelectric-mechanical loading. The analysis is performed using the three-dimensional equations of thermo-piezoelasticity and the differential quadrature (DQ) numerical technique. Solutions to the thermo-piezoelectric laminated plates are made possible with the development and implementation of a DQ layerwise modelling technique. The formulation allows different boundary conditions to be imposed at the edges of the plate. Numerical results for different example plate problems are presented, and the effects of the thermo-piezoelasticity and boundary conditions of these problems are investigated. The DQ model predictions are validated with existing results as the comparison reveals good agreement between two.     

State vector approach to analysis of multilayered magneto-electro-elastic plates

The state vector equations for three dimensional, orthotropic and linearly magneto-electro-elastic media are derived from the governing equations by eliminating σ_x, σ_y·τ_xy, B_x, B_y, D_x and D_y. An efficient method is presented for analysis of multilayered magneto-electro-elastic plates. The methodology is based on the mixed formulation, in which basic unknowns are formed by collecting not only displacements, electrical potential and magnetic potential but also some of stresses, electrical displacements, and magnetic induction. As special case, simply supported and multilayered rectangular plate is analyzed under the surface loading. Numerical results are presented graphically. The procedure of numerical calculation shows that the formulation presented here is simple and direct.     

A general vibration model of angle-ply laminated plates that accounts for the continuity of interlaminar stresses

This paper presents the generalisation of a well documented two-dimensional shear deformable laminated shell theory [Compos. Struct. 25 (1993) 165] that, based on a fixed number of unknown variables, was initially proposed for laminates made of specially orthotropic layers only. The theory is here specialised for laminated plates but is able to encompass monoclinic layers in a general multilayered configuration. Moreover, it is able to account for the interlaminar continuity of both displacements and transverse shear stresses. Higher-order effects, as shear deformation and rotary inertia, are naturally included into the formulation. In order to obtain the relevant governing differential equations, both Hamilton's variational principle and a recently proposed vectorial approach [Compos. Engng. 3 (1993) 3] have been independently used. The effectiveness of the present model is tested numerically by comparing its results with exact three-dimensional elasticity results obtained under the particular condition that the plates vibrate in cylindrical bending.     

A layerwise boundary integral equation model for layers and layered media

A hybrid method is presented for the analysis of layers, plates, and multilayered systems consisting of isotropic and linear elastic materials. The problem is formulated for the general case of a multilayered system using a total potential energy formulation. The layerwise laminate theory of Reddy is employed to develop a layerwise, two-dimensional, displacement-based, hybrid boundary element model that assumes piecewise continuous distribution of the displacement components through the system's thickness. A one-dimensional finite element model is used for the analysis of the multilayered system through its thickness, and integral Fourier transforms are used to obtain the exact solution for the in-plane problem. Explicit expressions are obtained for the fundamental solution of a typical infinite layer (element) assuming linear displacement distribution through its thickness. This fundamental solution is given in a closed form in the cartesian space, and it can be applied in the two-dimensional boundary integral equation model to analyze layered structures with finite dimensions. The proposed method provides a simple, efficient, and versatile model for a three-dimensional analysis of thick plates or multilayered systems.     

Prevention of thermal bending of multilayered beams and plates

A method is described to prevent bending in multilayered beams and plates of different isotropic materials with uniform and nonuniform temperature distribution through the thickness. The method involved the addition of an extra layer to the multilayered beams or plates. With the proper selection of the thermoelastic properties, the added layer would eliminate the curvature produced prior to this addition. A complete analysis for the determination of the various thermoelastic parameters of the extra layer was made. In addition, to ensure that the multilayered beams and plates actually remained straight, a thermoelastic analysis was performed for the solution of thermal stresses and strains in the laminate. The results gave assurance to the straightness of the laminate since the calculated strains have the same value throughout the thickness. The solutions are valid for any given uniform temperature change and for any given nonlinear temperature distribution through the thickness of the multilayered beams and plates. Several numerical examples are presented that illustrate the application of the method for various temperature distributions. A simple experiment was conducted that showed the validity of the analytical method. A brass strip was added to a bimetalic strip made of aluminum and steel at room temperature. The thickness of the brass strip was calculated from the theory to prevent bending. The trimetal strip was placed in a furnace and, as expected, it remained straight for varying temperatures.     

Wave propagation in magneto-electro-elastic multilayered plates

An analytical treatment is presented for the propagation of harmonic waves in magneto-electro-elastic multilayered plates, where the general anisotropic and three-phase coupled constitutive equations are used. The state-vector approach is employed to derive the propagator matrix which connects the field variables at the upper interface to those at the lower interface of each layer. The global propagator matrix is obtained by propagating the solution in each layer from the bottom of the layered plate to the top using the continuity conditions of the field variables across the interfaces. From the global propagator matrix, we finally obtain the dispersion relation by imposing the traction-free boundary condition on the top and bottom surfaces of the layered plate. Dispersion curves, modal shapes, and natural frequencies are presented for layered plates made of orthotropic elastic (graphite–epoxy), transversely isotropic PZT-5A, piezoelectric BaTiO₃ and magnetostrictive CoFe₂O₄ materials. While the numerical results show clearly the influence of different stacking sequences as well as material properties on the field response, the general methodology presented in the paper could be useful to the analysis and design of layered composites made of smart piezoelectric and piezomagnetic materials.     

The Stress State of Multilayered Physically Nonlinear Plates

A theory of and a solution to stationary and nonstationary problems for multilayered unsoldered plates are constructed. They are shown to converge within the framework of the kinematic Kirchhoff model with physical nonlinearity allowed for. The methods of variational iterations and finite differences are used for stress–strain analysis of a two-layered unsoldered plate of constant thickness with allowance for structural and physical nonlinearities. A wide class of problems is considered. In addition, the complex vibrations of two-layered plates are studied for arbitrary boundary conditions and for different gaps between layers