Triangular C0 continuous finite elements based on refined zigzag theory {2,2} for free and forced vibration analyses of laminated plates

2021 ◽  
pp. 115058
Author(s):  
Mehmet Dorduncu ◽  
Akif Kutlu ◽  
Erdogan Madenci
Keyword(s):  
Finite Elements ◽  
Forced Vibration ◽  
Laminated Plates ◽  
Zigzag Theory

Refined Multilayered Plate Elements for Coupled Magneto‐Electro‐Elastic Analysis

2009 ◽  
Vol 5 (2) ◽  
pp. 119-138 ◽  
Author(s):  
M. Di Gifico ◽  
P. Nali ◽  
S. Brischetto
Keyword(s):  
Finite Elements ◽  
Kinematic Model ◽  
Single Layer ◽  
Laminated Plates ◽  
Governing Equations ◽  
Elastic Fields ◽  
Plate Elements ◽  
Plate Models ◽  
Multilayered Plates ◽  
Principle Of Virtual Displacements

Finite elements for the analysis of multilayered plates subjected to magneto‐electro‐elastic fields are developed in this work. An accurate description of the various field variables has been provided by employing a variable kinematic model which is based on the Unified Formulation, UF. Displacements, magnetic and electric potential have been chosen as independent unknowns. Equivalent single layer and layer‐wise descriptions have been accounted for. Plate models with linear up to fourth‐order distribution in the thickness direction have been compared. The extension of the principle of virtual displacements to magneto‐electro‐elastic continua has been employed to derive finite elements governing equations. According to UF these equations are presented in terms of fundamental nuclei whose form is not affected by kinematic assumptions. Results show the effectiveness of the proposed elements as well as their capability, by choosing appropriate kinematics, to accurately trace the static response of laminated plates subject to magneto‐electro‐elastic fields.

Some serendipity finite elements for the analysis of laminated plates

1998 ◽  
Vol 69 (1) ◽  
pp. 37-51 ◽  
Author(s):  
Edward A. Sadek
Keyword(s):  
Finite Elements ◽  
Laminated Plates

Isogeometric static analysis of laminated plates with curvilinear fibers based on Refined Zigzag Theory

2021 ◽  
Vol 256 ◽  
pp. 113097
Author(s):  
K.A. Hasim ◽  
A. Kefal
Keyword(s):  
Static Analysis ◽  
Laminated Plates ◽  
Curvilinear Fibers ◽  
Zigzag Theory

scholarly journals Forced Vibration Analysis of Symmetrically Laminated Plates.

1996 ◽  
Vol 62 (601) ◽  
pp. 3381-3386
Author(s):  
Kenji HOSOKAWA ◽  
Katsuya KAWASHIMA ◽  
Takashi YADA ◽  
Toshiyuki SAKATA
Keyword(s):  
Forced Vibration ◽  
Vibration Analysis ◽  
Laminated Plates ◽  
Forced Vibration Analysis

Forced Vibration Responses of Smart Composite Plates using Trigonometric Zigzag Theory

2021 ◽  
pp. 2150067
Author(s):  
Aniket Chanda ◽  
Rosalin Sahoo
Keyword(s):  
Forced Vibration ◽  
Piezoelectric Materials ◽  
Composite Plates ◽  
Solution Technique ◽  
Integration Scheme ◽  
Shear Stresses ◽  
Smart Composite ◽  
Plate Structure ◽  
Vibration Responses ◽  
Zigzag Theory

The Trigonometric Zigzag theory is utilized in this research for analytically evaluating the forced vibration responses of smart multilayered laminated composite plates with piezoelectric actuators and sensors. This theory, as the name suggests, incorporates a trigonometric function, namely the secant function for describing the nonlinear behavior of transverse shear stresses through the thickness of the smart composite plates. The kinematics for the in-plane displacement components are obtained by superposing a globally varying nonlinear field through the thickness of the plate structure on a piecewise linearly varying zigzag field with slope discontinuities at the layer interfaces. The model also satisfies the inter-laminar continuity conditions of tractions at the interfaces of the multilayered plate. The equations of motion are derived using Hamilton’s principle, and the separation of the variables technique is extended to assume the solutions for the primary variables in space and time and solved analytically using Navier’s solution technique along with Newmark’s time integration scheme. A detailed analytical investigation of the dynamic behavior of the smart laminated plate coupled with piezoelectric materials like PVDF and piezoelectric fiber-reinforced composite (PFRC) is carried out by considering several forms of the time-dependent electromechanical excitations and also covering different geometrical and material features of the smart plate structure. The responses are found to be in close agreement with the elasticity solutions and some new results are also presented to show the dynamic controlling capacity of the piezoelectric layers.

Nonlinear forced vibration of FG-GRC laminated plates resting on visco-Pasternak foundations

2019 ◽  
Vol 209 ◽  
pp. 443-452 ◽  
Author(s):  
Yin Fan ◽  
Y. Xiang ◽  
Hui-Shen Shen
Keyword(s):  
Forced Vibration ◽  
Laminated Plates ◽  
Nonlinear Forced Vibration
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