Results 261 to 270 of about 31,460 (306)

Bending of a Layered Isotropic Plate With Periodic Debondings

Journal of Applied Mechanics, 1994
A layered, isotropic, and infinite elastic plate which has periodic cracks (debondings) between the layers is considered. The plate is subjected to a surface traction. The traction is spatially sinusoidal but is oriented arbitrarily. A solution for the particle displacement is obtained in form of a Fourier series expansion which accounts for the field ...
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Dynamic Problems in Isotropic Plates

2010
Plates found in applications are often subject to dynamic loads. These loads can be directly applied to the plate (i.e., wave impact, wind gusts, blast overpressure, impact by birds or other objects, etc.). In numerous applications, dynamic loads are applied to the plate by unbalanced rotating machinery supported by the plate or through the kinematic ...
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Flexure of thin inhomogeneous isotropic plates

Journal of Soviet Mathematics, 1991
The problem of the flexure of an inhomogeneous plate with a hole may be reduced, by the small-parameter method, to the solution of a series of problems for a homogeneous plate with a hole. These problems are solved using classical complex-potential methods.
Sarkisyan, V. S., Azaryan, S. A.
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Poisson Theory of Isotropic Plates in Bending

2021
Analysis of primary bending problems of homogeneous isotropic square plates is presented. Kirchhoff's theory and well-known shear deformation theories are briefly reviewed. The concept of lateral displacements as a face variable is introduced so that it is uncoupled from the determination of in-plane displacements. Poisson-Kirchhoff boundary conditions
Kaza Vijayakumar, Girish Kumar Ramaiah
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High-frequency vibrations of isotropic plates

Journal of Mathematical Sciences, 1995
Using the method of A. L. Gol'denveizer we reduce the three-dimensional problem of high-frequency steady-state vibrations of a thin isotropic plate to a series of two-dimensional problems. We construct two recursive processes that describe the basic stress-strain state of the plate.
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On the Spatial Behaviour for Transversely Isotropic Plates

New Trends in Fluid and Solid Models, 2009
Taking into account the Mindlin model about the theory concerning a state of bending for a linear transversely isotropic plate, some results about the spatial behaviour of transient solutions are established through appropriate families of line-integral measures. It has to be underlined that results are obtained under relaxed hypotheses on the positive
PASSARELLA, Francesca, ZAMPOLI, VITTORIO
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Contour Vibrations of Isotropic Circular Plates

The Journal of the Acoustical Society of America, 1956
A mathematical analysis has been done according to Love's theory. The results are: (a) The coefficients of the dilatation and the rotation are equal in amount regardless of Poisson's ratio only for the modes whose circumferential order is one. (b) The first mode whose order is two has the lowest natural frequency. This mode is practically equivoluminal,
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BENDING ANALYSIS OF THIN ISOTROPIC PLATES

BULLETIN of D. Serikbayev EKTU
In the field of modern construction, thin isotropic plates are widely used. The development of calculation methods and mathematical models for thin isotropic plates of rectangular shape is an important issue. The article examines the bending of a rectangular thin isotropic plate.
S. Akhazhanov, B. Nurlanova, L. Abeuova, A. Mergenbekova   +3 more
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Thermoelastic Problems in Isotropic and Composite Plates

2010
Plates often operate in high-temperature environments. Thermal loading can be applied instantaneously (thermal shock), as a continuous function of time or statically. Besides being a function of time, temperature may vary through the thickness or over the planform of the plate.
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Static Problems in Isotropic Rectangular Plates

2010
Plate structures are often subject to static loads that can cause the loss of strength or instability. The solution of relevant problems can be undertaken either employing equations of equilibrium or applying energy methods. This chapter illustrates the formulation and solution of representative problems for isotropic rectangular plates.
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