A new analytical solution of vibration response of orthotropic composite plates with two adjacent edges rotationally-restrained and the others free

2021 ◽  
pp. 113882
Author(s):  
Jinghui Zhang ◽  
Qingxin Zhao ◽  
Salamat Ullah ◽  
Litao Geng ◽  
Ömer Civalek
Keyword(s):  
Analytical Solution ◽  
Composite Plates ◽  
Vibration Response ◽  
Orthotropic Composite

Stress Concentrations in Cylindrically Orthotropic Composite Plates With a Circular Hole

1981 ◽  
Vol 48 (3) ◽  
pp. 563-569 ◽  
Author(s):  
N. J. Hoff
Keyword(s):  
Closed Form ◽  
Circular Hole ◽  
Orthotropic Plate ◽  
Composite Plates ◽  
Stress Concentrations ◽  
Orthotropic Composite ◽  
Closed Form Solutions ◽  
Cylindrically Orthotropic

The equations governing the distribution of the stresses in a cylindrically orthotropic plate with a circular hole are solved for the case when the plate is subjected to uniform uniaxial traction. Closed-form solutions are given for the circumferential stresses along the edge of the hole.

Damped Vibration Response of an Axially Moving Wire Subject to an Oscillating Boundary Condition and the Application to Slurry Wiresaws

2020 ◽  
pp. 1-37
Author(s):  
Liming Li ◽  
Imin Kao
Keyword(s):  
Boundary Condition ◽  
Analytical Solution ◽  
Traveling Waves ◽  
Solution Space ◽  
Vibration Response ◽  
Temporal Variables ◽  
Rocking Motion ◽  
Vibration Responses ◽  
Oscillating Boundary ◽  
Axially Moving

Abstract This paper presents the analysis of a new class of differential continuum system with a solution of traveling waves containing coupled spatial and temporal variables. Herein, we derive the analytical solution of the damped vibration response of a longitudinally moving wire with damping, subject to an oscillating boundary condition. The vibration response is the outcome of combining four traveling waves, induced by a wave initiating from the oscillating boundary, and traveling between the two boundaries. The four different traveling waves are the independent bases of the vibration responses that span the solution space of vibration of such continuum system. The combination, or the interference, of these traveling waves in the undamped condition produces nodal points in the vibration response, which can be formulated through the analytical solution. The impacts of wire speed, oscillating frequency at the boundary and damping factors on the vibration response are investigated. Furthermore, the vibration induced by the oscillating motion of the boundary has a profound impact on the effectiveness of slicing ingots with rocking motion of oscillating wire guides in wiresaw manufacturing processes.

scholarly journals Investigation of Free Vibration Response of E-Glass/Epoxy Delaminated Composite Plates

2012 ◽  
Vol 21 (1) ◽  
pp. 096369351202100 ◽  
Author(s):  
Turan Ercopur ◽  
Binnur Goren Kiral
Keyword(s):  
Free Vibration ◽  
Natural Frequency ◽  
Epoxy Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Vibration Response ◽  
Mode Shapes ◽  
Element Analysis ◽  
The Finite Element Analysis ◽  
Free Vibration Response

This paper deals with the finite element analysis of free vibration response of the delaminated composite plates. Free vibration analysis is performed by using ANSYS commercial software developing parametric input files. Natural frequency values and associated mode shapes of E-glass/epoxy composite delaminated plates are determined. Effects of delamination shape, dimension and location on the natural frequency and associated mode shapes are investigated and for the purpose of the observing the effect of the boundary conditions, cantilever and clamped-pinned delaminated composite plates are taken into consideration. Comparisons with the results in literature verify the validity of the developed models in this study. It is observed that the natural frequency decreases in the existence of the delamination and level of the decrease depends on the dimension, shape and location of the delamination.

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