scholarly journals Effect of elastic boundary conditions on free vibration of laminated composite plates

2011 ◽  
Vol 6 (19) ◽  
pp. 3949-3958 ◽  
Author(s):  
Kuuml ccedil uuml krendeci Ihsan ◽  
K Morguuml l Ouml mer
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Laminated Composite ◽  
Composite Plates ◽  
Laminated Composite Plates ◽  
Elastic Boundary ◽  
Elastic Boundary Conditions

The effect of hybridization and boundary conditions on damping and free vibration of composite plates

2015 ◽  
Vol 22 (5) ◽  
Author(s):  
Ahmet Erkliğ ◽  
Mehmet Bulut ◽  
Eyüp Yeter
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Natural Frequency ◽  
Laminated Composite ◽  
Composite Plates ◽  
Damping Properties ◽  
Laminated Composite Plates

AbstractIn this study, the influence of hybridization on natural frequency and damping properties of laminated composite plates consisting of various combinations of fibers and boundary conditions are examined. Carbon (C), Kevlar

scholarly journals A Unified Analysis for the Free Vibration of the Sandwich Piezoelectric Laminated Beam with General Boundary Conditions under the Thermal Environment

2021 ◽  
Vol 2021 ◽  
pp. 1-21
Author(s):  
Guohua Gao ◽  
Ningze Sun ◽  
Dong Shao ◽  
Yongqiang Tao ◽  
Wei Wu
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Thermal Environment ◽  
Search Algorithm ◽  
Golden Section ◽  
Shear Deformation Theory ◽  
Simulation Software ◽  
Elastic Boundary ◽  
Piezoelectric Beam ◽  
Elastic Boundary Conditions

This article mainly analyzes the free vibration characteristic of the sandwich piezoelectric beam under elastic boundary conditions and thermal environment. According to the first-order shear deformation theory and Hamilton’s principle, the thermo-electro-elastic coupling equations of the sandwich piezoelectric beam are obtained. Meanwhile, elastic boundary conditions composed of an array of springs are introduced, and the displacement variables and external potential energy of the beam are expressed as wave functions. By using the method of reverberation-ray matrix to integrate and solve the governing equations, a search algorithm based on golden-section search is introduced to calculate the required frequency parameters. A series of numerical results are compared with those reported in literature studies and obtained by simulation software to verify the correctness and versatility of the search algorithm. In addition, three parametric research cases are proposed to investigate the frequency parameters of sandwich piezoelectric beams with elastic restraint conditions, material parameters, thickness ratio, different temperature rises, and external electric potential.

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