On the thermomechanical behavior of a round flexible orthotropic plate

The critical temeprature of an orthotropic round plate at which it loses stability is determined, and its deflection is studied on the basis of flexible plate thermoelasticity. The plate is under conditions of heat exchange with the environment. The approximate method is based on the representation of stresses and displacements in the form of algebraic polynomials. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, Ukraine. Translated from Prikladnaya Mekhanika, Vol. 35, No. 4, pp. 95–100, April, 1999.     

The problem of the non-linear unsymmetrical bending for cylindrically orthotropic circular thin plate with variable thickness

I-Intr0ducti0nThebendingproblemofcircularthinplateisimriartantbothintheoryandinengineeringpractice,butbecausethebasicequationsoftheproblemsofnon-linearunsymmetricalbendingf0rcircularthinplate'arenonlineardifferentialequations,itisquitedifficulttoobtainana…     

Large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure

Basic equations for large deflection theory of thin orthotropic circular plate with variable thickness are derived in this paper. The modified iteration method is adopted to solve the large deflection problem of thin orthotropic circular plate with variable thickness under uniform pressure. If ε=0, then the solution derived from the result in this paper coincides completely with the result given by J. Nowinski (using perturbation method) for solving large deflection problem of thin orthotropic circular plate with constant thickness under uniform pressure.     

A two variable refined plate theory for orthotropic plate analysis

A new theory, which involves only two unknown functions and yet takes into account shear deformations, is presented for orthotropic plate analysis. Unlike any other theory, the theory presented gives rise to only two governing equations, which are completely uncoupled for static analysis, and are only inertially coupled (i.e., no elastic coupling at all) for dynamic analysis. Number of unknown functions involved is only two, as against three in case of simple shear deformation theories of Mindlin and Reissner. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Well studied examples, available in literature, are solved to validate the theory. The results obtained for plate with various thickness ratios using the theory are not only substantially more accurate than those obtained using the classical plate theory, but are almost comparable to those obtained using higher order theories having more number of unknown functions.     

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

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

Basic equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness

Under the case of ignoring the body forces and considering components caused by diversion of membrane in vertical direction ( z-direction ), the constitutive equations of the problem of the nonlinear unsymmetrical bending for orthotropic rectangular thin plate with variable thickness are given; then introducing the dimensionless variables and three small parameters, the dimensionaless governing equations of the deflection function and stress function are given.     

ON THE LIAPUNOV’S STABILITY OF A CLAMPED ORTHOTROPIC ROUND PLATE UNDER RADIAL AXISYMMETRICAL IMPACTLOAD

ＯＮＴＨＥＬＩＡＰＵＮＯＶ＇ＳＳＴＡＢＩＬＩＴＹＯＦＡＣＬＡＭＰＥＤＯＲＴＨＯＴＲＯＰＩＣＲＯＵＮＤＰＬＡＴＥＵＮＤＥＲＲＡＤＩＡＬＡＸＩＳＹＭＭＥＴＲＩＣＡＬＩＭＰＡＣＴＬＯＡＤＪｉｅＭｉｎ（揭敏）（ＤｅｐａｒｔｍｅｎｔｏｆＭｅｃｈａｎｉｃｓ．Ｈｕ...     

The two-dimensional nonlinear orthotropic plate

Free University Berlin