Forced vibrations of an elongated cylindrical panel on a unilateral elastic foundation

1985 ◽  
Vol 21 (8) ◽  
pp. 768-772
Author(s):  
V. A. Bazhenov ◽  
E. A. Gotsulyak ◽  
V. I. Gulyaev ◽  
G. S. Kondakov
Keyword(s):  
Elastic Foundation ◽  
Cylindrical Panel ◽  
Forced Vibrations

Vibration of an Infinitely Extending Plate Resting on an Elastic Foundation

1963 ◽  
Vol 30 (3) ◽  
pp. 355-362 ◽  
Author(s):  
Kazuyosi Ono
Keyword(s):  
Free Vibration ◽  
Elastic Foundation ◽  
Infinite Number ◽  
Free Vibrations ◽  
Forced Vibrations ◽  
The Other ◽  
Damped Oscillation

Free vibrations and forced vibrations of an infinitely extending plate resting on an elastic foundation and carrying a mass are solved. Then the amplitudes of the free vibrations produced by an impulse applied to the mass on the plate are determined, and it is found that two kinds of vibration are produced in the plate: One is a free vibration and the other is a special vibration, which consists of an infinite number of free vibrations and resembles a damped oscillation.

Vibrational behavior of sandwich plates with functionally graded wavy carbon nanotube-reinforced face sheets resting on Pasternak elastic foundation

2017 ◽  
Vol 24 (11) ◽  
pp. 2327-2343 ◽  
Author(s):  
Rasool Moradi-Dastjerdi ◽  
Hamed Momeni-Khabisi
Keyword(s):  
Carbon Nanotube ◽  
Aspect Ratio ◽  
Elastic Foundation ◽  
Volume Fraction ◽  
Forced Vibrations ◽  
Functionally Graded ◽  
Sandwich Plates ◽  
Free And Forced Vibrations ◽  
Mesh Free ◽  
Pasternak Elastic Foundation

In this paper, free and forced vibrations, and also resonance and pulse phenomena in sandwich plates with an isotropic core and composite reinforced by wavy carbon nanotube (CNT) face sheets are studied based on a mesh-free method and first order shear deformation theory (FSDT). The sandwich plates are resting on Pasternak elastic foundation and subjected to periodic loads. In the mesh-free analysis, moving least squares (MLS) shape functions are used for approximation of displacement field in the weak form of motion equation and the transformation method is used for imposition of essential boundary conditions. The distributions of CNTs are considered functionally graded (FG) or uniform along the thickness and their mechanical properties are estimated by an extended rule of mixture. Effects of CNT distribution, volume fraction, aspect ratio and waviness, and also effects of Pasternak’s elastic foundation coefficients, sandwich plate thickness, face sheets thickness, plate aspect ratio and time depended force are investigated on the free and forced vibrations, and resonance behavior of the sandwich plates with wavy CNT-reinforced face sheets.

THE FORCED VIBRATIONS OF PLATES ON ELASTIC FOUNDATION CONSIDERING THE MATERIAL’S CREEP

2014 ◽  
Vol 0 (10) ◽  
pp. 118-121
Author(s):  
Сергій Іванович Трубачев ◽  
Ольга Миколаївна Алексейчук
Keyword(s):  
Elastic Foundation ◽  
Forced Vibrations ◽  
Plates On Elastic Foundation

Multi-Modal Nonlinear Forced Vibrations of Circular Cylindrical Shells of Arbitrary Shapes

2011 ◽  
Author(s):  
Galyna Pilgun ◽  
Marco Amabili
Keyword(s):  
Strain Energy ◽  
Cylindrical Panel ◽  
Forced Vibrations ◽  
Second Step ◽  
Natural Modes ◽  
Nonlinear Responses ◽  
Mesh Free ◽  
Circular Cylindrical Shells ◽  
Spectral Neighborhood ◽  
Admissible Functions

Large-amplitude nonlinear forced vibrations of a circular cylindrical panel with a complex base, clamped at the edges are investigated. The Sanders-Koiter and the Donnell nonlinear shell theories are used to calculate the strain energy; in-plane inertia is retained. A mesh-free technique based on classic approximate functions and the R-function theory is used to build the discrete model of the nonlinear vibrations. This allows for constructing the sequences of admissible functions that satisfy given boundary conditions in domains with complex geometries. The problem is solved in two steps: a linear analysis is conducted to identify natural frequencies and corresponding natural modes to be used in the second step as a basis for nonlinear displacements. The system of ordinary differential equations is obtained by using the Lagrange approach on both steps. Numerical responses are obtained in the spectral neighborhood of the lowest natural frequency. The convergence of nonlinear responses is investigated.

scholarly journals DYNAMIC EFFECTS IN THE BEAM ON AN ELASTIC FOUNDATION CAUSED BY THE SUDDEN TRANSFORMATION OF SUPPORTING CONDITIONS

2018 ◽  
Vol 14 (4) ◽  
pp. 27-47
Author(s):  
Vladimir I. Travush ◽  
Vladimir A. Gordon ◽  
Vitaly I. Kolchunov ◽  
Yevgeny V. Leontiev
Keyword(s):  
Mathematical Model ◽  
Boundary Conditions ◽  
Elastic Foundation ◽  
Dynamic Process ◽  
Static Problem ◽  
Forced Vibrations ◽  
Initial Condition ◽  
Dynamic Effects ◽  
Foundation Parameters

A mathematical model of a dynamic process in a loaded beam on an elastic Winkler base with the sudden formation of a defect in the form of a change in the boundary conditions is constructed. The solution of the static problem of bending of the beam fixed at the ends serves as the initial condition for the process of forced vibrations hinged supported at the ends of the beam, which arose after a sudden break in the bonds that prevented the rotation of the end sections. Dynamic increments of stresses in the beam for various combinations of beam and foundation parameters are determined. determined.

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