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frequency equation
Description:
A mathematical condition whose solutions give natural frequencies of a vibrating structure or system.
Primary topic:
Vibration and Dynamic Analysis (27%)
Related topics:
Vibration and Dynamic Analysis (27%),
Elasticity and Wave Propagation (15%),
Composite Structure Analysis and Optimization (13%),
Thermoelastic and Magnetoelastic Phenomena (10%)
OpenAlex ID:
keywords/frequency-equation
Elastic wave propagation in heterogeneous plates
1966
·
P.Constance Yang
, Charles H. Norris
, et al.
·
International Journal of Solids and Structures
·
732
Waves at a Flexibly Bonded Interface
1967
·
J. P. Jones
, J. S. Whittier
·
Journal of Applied Mechanics
·
265
Sound wave propagation in single-walled carbon nanotubes using nonlocal elasticity
2008
·
H. Heireche
, A. Tounsi
, et al.
·
Physica E Low-dimensional Systems and Nanostructures
·
252
Thickness Vibrations of Piezoelectric Plates
1963
·
H. F. Tiersten
·
The Journal of the Acoustical Society of America
·
218
The mechanics of vibrations of cylindrical shells
1988
·
Š. Markuš
·
Medical Entomology and Zoology
·
212
Wave Propagation through a Viscous Incompressible Fluid Contained in an Initially Stressed Elastic Tube
1966
·
H.B. Atabek
, H.S. Lew
·
Biophysical Journal
·
209
PDF
Comparison of the Assumed Modes and Finite Element Models for Flexible Multilink Manipulators
1995
·
Rex J. Theodore
, Ashitava Ghosal
·
The International Journal of Robotics Research
·
203
The Effects of Shear Flexibility and Rotatory Inertia on the Bending Vibrations of Beams
1953
·
R. W. TRAILL-NASH
, A. R. COLLAR
·
The Quarterly Journal of Mechanics and Applied Mathematics
·
191
Natural vibration analysis of clear wooden beams: a theoretical review
2002
·
L. Brancheriau
, H. Bailleres
·
Wood Science and Technology
·
190
Free vibration analysis of circular cylindrical shells
1981
·
H. Chung
·
Journal of Sound and Vibration
·
174
Vibration studies of rotating cylindrical shells with arbitrary edges using characteristic orthogonal polynomials in the Rayleigh–Ritz method
2013
·
Shupeng Sun
, Dengqing Cao
, et al.
·
International Journal of Mechanical Sciences
·
172
Wave Propagation in Transversely Isotropic Circular Cylinders Part I: Theory
1965
·
I. Mirsky
·
The Journal of the Acoustical Society of America
·
169
On new symplectic elasticity approach for exact free vibration solutions of rectangular Kirchhoff plates
2008
·
C.W. Lim
, C.F. Lü
, et al.
·
International Journal of Engineering Science
·
162
On the Propagation of Frequencies and Energy in Certain Types of Oceanic and Atmospheric Waves
1945
·
C-G. Rossby
·
Journal of Meteorology
·
161
Elasticity solution for free vibration of laminated beams
2003
·
W.Q. Chen
, C.F. Lv
, et al.
·
Composite Structures
·
158
Free vibration of joined conical-cylindrical shells
1984
·
T. Irie
, G. Yamada
, et al.
·
Journal of Sound and Vibration
·
151
On the propagation of waves in an electromagnetic elastic solid
1963
·
J.W. Dunkin
, A.C. Eringen
·
International Journal of Engineering Science
·
139
Wave Propagation through a Viscous Fluid Contained in a Tethered, Initially Stressed, Orthotropic Elastic Tube
1968
·
H.B. Atabek
·
Biophysical Journal
·
138
PDF
Unconstrained and Constrained Mode Expansions for a Flexible Slewing Link
1988
·
Enrique Barbieri
, U¨mit O¨zgu¨ner
·
Journal of Dynamic Systems Measurement and Control
·
137
The Enhanced Homotopy Perturbation Method for Axial Vibration of Strings
2021
·
Ji-Huan He
, Yusry O. El-Dib
·
Facta Universitatis Series Mechanical Engineering
·
130
PDF
Free vibration analysis of generally laminated beams via state-space-based differential quadrature
2003
·
W.Q. Chen
, C.F. Lv
, et al.
·
Composite Structures
·
130
Exact Analysis of the Plane-Strain Vibrations of Thick-Walled Hollow Cylinders
1958
·
Denos C. Gazis
·
The Journal of the Acoustical Society of America
·
119
On the Eigenfrequencies of a Cantilever Beam With Attached Tip Mass and a Spring-mass System
1996
·
M. Gürgöze
·
Journal of Sound and Vibration
·
114
The effect of pre-stress on the vibration and stability of elastic plates
1993
·
R.W. Ogden
, D.G. Roxburgh
·
International Journal of Engineering Science
·
112
Natural vibration of circular and annular thin plates by Hamiltonian approach
2010
·
Z.H. Zhou
, K.W. Wong
, et al.
·
Journal of Sound and Vibration
·
111
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Works count:
2,119
Citation count:
24,950
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