Modeling and Analysis of Laminated Composite Plate Using Modified Higher Order Shear Deformation Theory

Kassem, M. E.; Elshafei, M. Adnan; Negm, Hani M.

doi:10.21608/asat.2013.22182

Cited by 5 publications

(10 citation statements)

References 31 publications

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“…The Cartesian coordinate system is taken so that the xy -plane coincides with the mid-plane of the plate, and the z-axis is upward normal to the mid-plane. The displacement field equations of the modified higher order plate theory (MHPT), [13,14], are given as:…”

Section: Displacement Field Equationsmentioning

confidence: 99%

“… is the SMA layer stiffness matrix which is function of the martensite fraction, which is given in the strain-stress relation, [13,14].…”

Section: Stress-strain Relationshipsmentioning

confidence: 99%

“…Two types of boundary conditions are considered, simply-supported and cantilevered. The Ritz functions used in the present study are listed in [13,14].…”

Section: Ritz Solution Techniquementioning

confidence: 99%

“…The equations of motion of the plate structure are derived using the Ritz approximation technique, [13,14]:…”

Section: Equations Of Motionmentioning

confidence: 99%

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Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

Kassem

Elshafei

Negm

2014

The International Conference on Applied Mechanics and Mechanica

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In the present work, laminated composite plates with surface bonded shape memory alloy sheets are modeled and analyzed based on the modified higher-order shear deformation theory. The energy balance equations in conjunction with Brinson's SMA constitutive model are used to formulate the heat transfer governing equations. The static responses as well as dynamic characteristics of the plates are obtained using Ritz solution technique. The plates are subjected to mechanical loads with two types of boundary conditions, simply-supported and cantilevered. A Mathematica code is developed to analyze different plate problems. The time response of the shape memory alloy laminated composite plate is studied. The obtained results are compared to the available studies solved by different theories. Parametric studies are conducted to demonstrate the effect of thickness ratio, aspect ratio, material properties, thermal expansion coefficient, and thickness of shape memory alloy sheet on the transverse deflections, natural frequencies, and response time. KEY WORDSShape memory alloys, composite plate, Higher-order shear deformation theory, heat transfer modeling, Ritz energy method, static and dynamic analysis of plates.---

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Section: Displacement Field Equationsmentioning

confidence: 99%

“… is the SMA layer stiffness matrix which is function of the martensite fraction, which is given in the strain-stress relation, [13,14].…”

Section: Stress-strain Relationshipsmentioning

confidence: 99%

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Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

Kassem

Elshafei

Negm

2014

The International Conference on Applied Mechanics and Mechanica

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“…, a x y is the column vector of the Ritz approximation functions that satisfy the cantilever plate boundary conditions as given by Kassem et al [15],…”

Section: Structural Formulationmentioning

confidence: 99%

Flutter and Divergence Characteristics of Composite Plate Wing

Kassem¹,

Negm

Elshafei³

2013

International Conference on Aerospace Sciences and Aviation Tec

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In the present work, an analytical investigation is introduced to determine the aeroelastic behavior of unswept, rectangular wings simulated by cantilevered composite plates using energy formulation and incompressible aerodynamic theory. Modified higher order shear deformation theory is used in the structural formulation. Doublet point method is used to solve the subsonic unsteady flow over the proposed rectangular wing. The flutter and divergence velocities are obtained using U-g method, which are validated by the analytical, finite element, wind tunnel test results available in the literature. The effect of composite fiber orientation on natural frequency, flutter and divergence speeds is discussed.

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Energy-Based Optimal Placement of Piezoelectric Actuator on Smart Thin Plate

Salem

Kassem

Amin

et al. 2023

J. Vib. Eng. Technol.

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Purpose To establish a smart thin plate in which structural health monitoring (SHM) and active vibration control purposes are integrated, the locations of attached piezoelectric ceramic (PZT) actuators as well as their applied normalized voltage are investigated. Method Normal strains of such coupled electro-mechanical systems are defined using Kirchoff's classical laminate plate theory (CLPT), and then, by Ritz solution, these normal strains are converted to spatially dependent functions that are employed to define virtual work for the actuators as a function of location and applied voltage. Finally, genetic algorithm (GA)-based iterative optimization is carried out to locate the actuators as well as determine the normalized applied voltage for each of them in the desired modes. Results Three plates with different boundary conditions are studied for optimal placement of PZT actuator/s . The PZT actuator/s are optimally placed where the maximum amount of exerted virtual work is reached to fulfil the perfect excitation needed by SHM and provide the highest damping energy for undesired vibration at designated modes. The results show that the optimum location of PZT actuator/s lies where the maximum sum of normal strains is. Conclusion The proposed process is valid for any mixed boundary conditions on a thin plate with any number of square actuators with a minimum computational effort, where both location of the actuator/s and applied voltage can be manipulated via GA to achieve the maximum exerted work done by PZT actuator/s at each desired natural mode.

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Modeling and Analysis of Laminated Composite Plate Using Modified Higher Order Shear Deformation Theory

Cited by 5 publications

References 31 publications

Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

Modeling and Analysis of Shape Memory Alloy Laminated Composite Plates

Flutter and Divergence Characteristics of Composite Plate Wing

Energy-Based Optimal Placement of Piezoelectric Actuator on Smart Thin Plate

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