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Modelowanie tolerancyjne w mechanice konstrukcji

100%

Nagórko W. , Wągrowska M.

tom z. 14

111-116

W mechanice zachodzi potrzeba konstrukcji teorii prostszych, przybliżonych będących z sobą w pewnej tolerancji. Przykładem takich teorii są teorie płyt i powłok. W pracy przedstawiono ogólny schemat konstrukcji teorii uwzględniający ocenę przybliżenia. Rozważania zawężono do teorii płyt.

We need sometimes to construct some simpler, approximated theories in mechanics they have to be in a tolerance. The examples of these theories are theories of plates and shells. We present in this paper the process of constructing theory, which takes into consideration the estimation of approximation. Our considerations are reduced to the theory of plates.

Static analysis of functionally graded plate using nonlinear classical plate theory with von-Karman strains

100%

Singh S. J. , Harsha S. P.

tom Vol. 23, no. 3

707--726

The present study is based on the nonlinear bending analysis of an FGM plate with Von-Karman strain based on the non-linear classical plate theory (NLCPT) with in-plane displacement and moderate rotation. Non-linear bending analysis based on stresses and transverse deflections is then carried out for the plate for the complex solution obtained using an analytical method viz. Navier’s method. The equations of motion and boundary conditions are obtained using the Principle of Minimum Potential Energy (PMPE) method and material property is graded in thickness direction according to simple power-law distribution in terms of volume fractions of the constituents. The effect of the span-to-thickness ratio and FGM exponent on the maximum central deflection and stresses are studied. The results show that the response is transitional with respect to ceramic and metal and the complex solution predicts the real behavior of stresses and deflections in the functionally graded plate. The functionally graded plate is found to be more effective for moderately thick and thick plates, which is inferred by a complex nature of the solution. For FGM plates, the transverse deflection is in-between to that of metal and ceramic rich plates. The complex nature of the solution also gives information about the stress distribution in the thickness direction.

Linear and Non-Linear Dynamic Behaviour of an Axially Moving Viscoelastic Beam

84%

Marynowski K.

tom Vol. 21

259--262

Influence of asymptotic corrector on the description of the dynamic behaviour of a circular elastic plate

67%

Sławianowska A. , Telega J. J.

tom Vol. 56, nr 1

19-31

The aim of the present paper is to study an initial-boundary value problem for an isotropic circular plate. General theory was developed by the authors in [12]. The novelty consists in the study of influence of second-order terms (correctors), obtained by variational-asymptotic analysis, on the dynamic solution of plates.