Analysis of a rotating multi-layer annular plate modeled via layerwise zig-zag theory: Free vibration and transient analysis

1998 ◽  
Vol 66 (2-3) ◽  
pp. 313-335 ◽  
Author(s):  
D. Lee ◽  
A.M. Waas ◽  
B.H. Karnopp
Keyword(s):  
Free Vibration ◽  
Transient Analysis ◽  
Annular Plate

Application of a Set of Completed System of Orthogonal Functions in L2[a,b] Space on the Vibration Analysis of Annular Plates

2011 ◽  
Vol 42 (11) ◽  
pp. 25-29
Author(s):  
WeiDong Wang ◽  
Gang Cheng ◽  
Quan Cheng
Keyword(s):  
Integral Equation ◽  
Free Vibration ◽  
High Precision ◽  
Green's Function ◽  
Vibration Analysis ◽  
Annular Plate ◽  
Integral Equation Method ◽  
Equation Method ◽  
Orthogonal Functions ◽  
Annular Plates

A type of complete systems of orthogonal functions in L2[a,b] space is introduced into the construction of Green's function of annular plate. A brief and effective method is derived to study the free vibration of annular plates by using the integral equation method. The results obtained not only reveal its briefness and high precision, but also provide a reliable premise for the vibration analysis of more complex annular plates.

Free vibration analysis of laminated composite conical, cylindrical shell and annular plate with variable thickness and general boundary conditions

2021 ◽  
Author(s):  
Kwang Hun Kim ◽  
Songhun Kwak ◽  
Kwangil An ◽  
Kyongjin Pang ◽  
Pyol Kim
Keyword(s):  
Cylindrical Shell ◽  
Free Vibration ◽  
Boundary Conditions ◽  
Variable Thickness ◽  
Conical Shell ◽  
Annular Plate ◽  
Laminated Composite ◽  
Haar Wavelet ◽  
Algebraic Equations ◽  
Arbitrary Boundary

Abstract This paper presents a unified solution method to investigate the free vibration behaviors of laminated composite conical shell, cylindrical shell and annular plate with variable thickness and arbitrary boundary conditions using the Haar wavelet discretization method (HWDM). Theoretical formulation is established based on the first order shear deformation theory(FSDT) and displacement components are extended Haar wavelet series in the axis direction and trigonometric series in the circumferential direction. The constants generating by the integrating process are disposed by boundary conditions, and thus the equations of motion of total system including the boundary condition are transformed into an algebraic equations. Then natural frequencies of the laminated composite structures are directly obtained by solving these algebraic equations. Stability and accuracy of the present method are verified through convergence and validation studies. Effects of some material properties and geometric parameters on the free vibration of laminated composite shells are discussed and some related mode shapes are given. Some new results for laminated composite conical shell, cylindrical shell and annular plate with variable thickness and arbitrary boundary conditions are presented, which may serve as benchmark solutions.

Free vibration of a mindlin annular plate of varying thickness

1979 ◽  
Vol 66 (2) ◽  
pp. 187-197 ◽  
Author(s):  
T. Irie ◽  
G. Yamada ◽  
S. Aomura
Keyword(s):  
Free Vibration ◽  
Annular Plate ◽  
Varying Thickness

scholarly journals Free Vibration of Radially Stiffened Annular Plate

1980 ◽  
Vol 23 (175) ◽  
pp. 76-82
Author(s):  
Toshihiro IRIE ◽  
Gen YAMADA ◽  
Shigeru AOMURA
Keyword(s):  
Free Vibration ◽  
Annular Plate

The Research on Dynamic Performance of Straight Going Fast Assembling Car Overpass

2011 ◽  
Vol 90-93 ◽  
pp. 845-850
Author(s):  
Hong Sheng Qiu ◽  
Jing Jing Yuan ◽  
Shu Guang Liu ◽  
Xiao Min Huang
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Modal Analysis ◽  
Transient Analysis ◽  
Moving Load ◽  
Dynamic Performance ◽  
Urban Transportation ◽  
Ansys Software ◽  
Traffic Jams ◽  
Optimum Speed

In order to solve the traffic jams and congestion of urban transportation in most cities, the steel trussed cable-stayed car overpass model is analyzed through the finite element modal analysis by ANSYS software based on the design concept of straight going fast assembling car overpass. After understanding the laws of free vibration characteristics of the structure, the variation of maximum deflections and stresses of the structure which is under the loads moved at different speeds are studied by moving load transient analysis of full method. The result further testifies that the structure is reliable and safe. Also, the range of the optimum speed is summarized to provide reference for the design of speed-limiting facilities of the car overpass.

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