Dynamic Shear Response of Rectangular Plates with Initial Imperfections

1980 ◽  
Vol 102 (4) ◽  
pp. 769-775
Author(s):  
H. Pasic ◽  
G. Herrmann
Keyword(s):  
Free Vibrations ◽  
Elastic Response ◽  
Rectangular Plates ◽  
Frequency Spectra ◽  
Initial Imperfections ◽  
Normal Forces ◽  
Plane Normal ◽  
Distribution Plate ◽  
Plate Geometry ◽  
Inertia Forces

The paper presents an analysis of the elastic response of a simply supported, imperfect, rectangular plate subjected to an in-plane supercritical shear force, suddenly applied at one of the edges in the form of a square pulse. The influence of the initial plate irregularities on the overall response during both loading and postloading period is investigated. The averaged in-plane inertia forces are taken into account. The analysis is an extension of the studies of the response to in-plane normal forces of plates of infinite width and finite length given in [1], and of a finite plate given in [2]. The results indicate that the frequency spectra of free vibrations during the post-loading regime are controlled by the initial irregularities distribution, plate geometry and the load levels.

Dynamic Response of a Rectangular Plate With Initial Imperfections Under Large In-Plane Forces

1982 ◽  
Vol 104 (2) ◽  
pp. 432-438
Author(s):  
H. Pasic ◽  
D. Juricic ◽  
G. Herrmann
Keyword(s):  
Dynamic Response ◽  
Rectangular Plate ◽  
Free Vibrations ◽  
Load Level ◽  
Critical Force ◽  
Simply Supported ◽  
Initial Imperfections ◽  
Initial Irregularity ◽  
Short Time ◽  
Plate Geometry

This paper presents an analysis of the response of an imperfect, finite, simply-supported, rectangular plate under an in-plane above-critical force applied during a short time at one of the edges in the direction perpendicular to the edge. The influence of the initial irregularities on the overall response during and after load application is analyzed. The results indicate that the frequency spectrum of free vibrations, after removal of the load, is controlled by the initial irregularity distribution, the plate geometry, and the load level.

Numerical analysis of free vibrations of rectangular plates based on different approaches

2019 ◽  
pp. 33-41
Author(s):  
Oleksandr Grigorenko ◽  
◽  
Maksym Borysenko ◽  
Olena Boychuk ◽  
Volodymyr Novytskyi ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Free Vibrations ◽  
Rectangular Plates

Free vibrations of periodically point-supported rectangular plates

1989 ◽  
Vol 132 (3) ◽  
pp. 491-509 ◽  
Author(s):  
A.V. Bapat ◽  
S. Suryanarayan
Keyword(s):  
Free Vibrations ◽  
Rectangular Plates

A Parametric Approach for the Stress Analysis of Orthogonally Stiffened Rectangular Plates

1983 ◽  
Vol 105 (4) ◽  
pp. 363-368 ◽  
Author(s):  
R. J. Dohrmann ◽  
J. N. Wu ◽  
R. E. Beckett
Keyword(s):  
Stress Analysis ◽  
Orthotropic Plate ◽  
Plate Thickness ◽  
Normal Pressure ◽  
Rectangular Plates ◽  
Maximum Deflection ◽  
Stiffened Plate ◽  
Parametric Approach ◽  
Simply Supported ◽  
Plate Geometry

This report describes a parametric approach for the stress analysis of orthogonally stiffened rectangular plates. The analysis assumes that the deflection of an orthogonally stiffened plate is approximated by a homogeneous orthotropic plate of a uniform thickness. Polynomial expressions for maximum deflection for two sets of boundary conditions (all edges clamped and two edges clamped–two edges simply supported) are presented in terms of plate geometry and loading (normal pressure and in-plane forces). A method for computing the stress is presented that permits stresses in the actual orthogonally stiffened plate (that generally does not have a uniform plate thickness) to be determined.

The Effect of Viscosity on the Forced Vibrations of a Fluid-Filled Elastic Shell

1983 ◽  
Vol 50 (3) ◽  
pp. 517-524 ◽  
Author(s):  
T. C. Su
Keyword(s):  
Essential Feature ◽  
Elastic Shell ◽  
Energy Dissipation Rate ◽  
Free Vibrations ◽  
Forced Vibrations ◽  
External Forcing ◽  
Fluid Loading ◽  
Response Curves ◽  
Frequency Spectra ◽  
Resonant Frequencies

The effect of viscosity on the axisymmetric, forced vibrations of a fluid-filled, elastic, spherical shell is studied analytically. Necessary theory, using boundary layer approximation for the fluid as developed in a previous paper for free vibrations, has been extended to incorporate an external forcing excitation. Shell response, fluid loading, and energy dissipation rate are computed for radial, tangential, and combined force excitations. The essential feature of the modal and the total responses is determined by resonant frequencies and various vibration-absorbing frequencies. Frequency spectra for such frequencies, as well as various response curves, are presented in dimensionless forms to illustrate the characteristics of the solution.

scholarly journals Numerical and Experimental Approach for Identifying Elastic Parameters in Sandwich Plates

2002 ◽  
Vol 9 (4-5) ◽  
pp. 193-201 ◽  
Author(s):  
Sergio Ferreira Bastos ◽  
Lavinia Borges ◽  
Fernando A. Rochinha
Keyword(s):  
Experimental Approach ◽  
Natural Frequencies ◽  
Free Edge ◽  
Free Vibrations ◽  
Elastic Parameter ◽  
Sandwich Plates ◽  
Rectangular Plates ◽  
Elastic Parameters ◽  
Non Destructive ◽  
Parameter Problem

This article deals with the identification of elastic parameters (engineering constants) in sandwich honeycomb orthotropic rectangular plates. A non-destructive method is introduced to identify the elastic parameters through the experimental measurements of natural frequencies of a plate undergoing free vibrations. Four elastic constant are identified. The estimation of the elastic parameter problem is solved by minimizing the differences between the measured and the calculated natural frequencies. The numerical method to calculate the natural frequencies involves the formulation of Rayleigh-Ritz using a series of characteristic orthogonal polynomials to properly model the free edge boundary conditions. The analysis of the results indicates the efficiency of the method.

Detection of Cracks in Rotating Timoshenko Shafts Using Axial Impulses

1991 ◽  
Vol 113 (1) ◽  
pp. 74-78 ◽  
Author(s):  
K. R. Collins ◽  
R. H. Plaut ◽  
J. Wauer
Keyword(s):  
Piecewise Linear ◽  
Equations Of Motion ◽  
Crack Depth ◽  
Effective Means ◽  
Linear Equations ◽  
Free Vibrations ◽  
Frequency Spectra ◽  
Time Histories ◽  
Rotating Shafts ◽  
Linear Equations Of Motion

A rotating Timoshenko shaft with a single transverse crack is considered. The crack opens and closes during motion and is represented by generalized forces and moments. The shaft has simply supported ends, and the six coupled, piecewise-linear equations of motion (including longitudinal, transverse, and torsional displacements) are integrated numerically after application of Galerkin’s method with two-term approximations for each of the six displacements. Time histories and frequency spectra are compared for shafts with no crack and with a crack for which the crack depth is one-fifth of the shaft diameter. Free vibrations and the responses to a single axial impulse and periodic axial impulses are analyzed. The last case appears to provide an effective means for detecting cracks in rotating shafts.

Sign in / Sign up

Export Citation Format

Share Document