A damped sandwich beam model based on symmetric–deviatoric couple stress theory

Dehrouyeh-Semnani, Amir Mehdi; Dehrouyeh, Mohammad; Torabi-Kafshgari, Mostafa; Nikkhah‐Bahrami, Mansour

doi:10.1016/j.ijengsci.2015.03.007

Cited by 25 publications

(6 citation statements)

References 61 publications

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“…Beni et al [9] studied the size-dependent equations of motion for a functionally graded cylindrical shell on the basis of the modified couple stress theory. Dehrouyeh-Semnani et al [10] studied the problems of microbeams based on the modified couple stress theory.…”

Section: Introductionmentioning

confidence: 99%

Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory

Kumar¹

2016

CMST

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The present investigation deals with the problem of thermoelastic beam in the modified couple stress theory due to thermal source. The governing equations of motion for the modified couple stress theory and heat conduction equation for coupled thermoelasticity are investigated to model the vibrations in a homogeneous isotropic thin beam in a closed form by applying the Euler Bernoulli beam theory. The Laplace transform technique is used to solve the problem. The lateral deflection, thermal moment, axial stress average due to normal heat flux in the beam are derived and computed numerically. The resulting quantities are depicted graphically for a specific model. A particular case is also introduced.

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Section: Introductionmentioning

confidence: 99%

Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory

Kumar¹

2016

CMST

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“…The differences between Bernoulli -Euler, Timoshenko and Reddy beam models were studied. Dehrouyeh-Semnani et al [26] obtained Bernoulli-Euler beam model and Timoshenko beam model based on modified couple stress. The effects of size-dependent shear deformation on static bending, buckling and free vibration characteristics of micro-beams were studied.…”

Section: Introductionmentioning

confidence: 99%

“…According to method of separation of variables, one can assume the solution of differential equation (25) as the form with ω being the natural frequency, B and C being the undetermined coefficients.Substituting(26) and (27) into(25), one has…”

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confidence: 99%

Analytic solution for size-dependent behaviors of micro-beam under forced vibration

Wang¹,

Wang²,

Wang³

et al. 2020

Mech. Eng. Sci.

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This paper focuses on the size-dependently mechanical behaviors of a micro-beam under forced vibration. Governing equations of a micro-beam under forced vibration are established by using the modified couple stress theory, Bernoulli-Euler beam theory and D’Alembert’s principle together. A simply supported micro-beam under forced vibration is solved according to the established governing equations and the method of separation of variables. The dimensionless deflection, amplitude mode and period mode are defined to investigate the size-dependently mechanical behaviors of a micro-beam under forced vibration. Results show that the performance of a micro-beams under forced vibration is distinctly size-dependent when the ratio of micro-beam height to material length-scale parameter is small enough. Both frequency ratio and loading location are the important factors that determine the size-dependent performance of a micro-beams under forced vibration.

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“…30 Many researchers have used couple stress theory in their studies to analyse. [31][32][33][34][35][36] For instance Al-Basyouni et al…”

Section: Introductionmentioning

confidence: 99%

Using a New Size Dependent Orthotropic Elastic Shell Model for the Investigation of Free Vibration of Protein Microtubules

Beni¹,

Zeverdejani²

2019

March

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Protein microtubules are one of the most effective intracellular components. The microtubules structure is in a manner that their behaviour is similar to that of the orthotropic materials. Therefore, in this paper, size-dependent vibration of the anisotropic protein microtubule is studied. For this purpose, using a first shear deformable shell model and based on couple stress theory, new equations are developed for the dynamic behavior of anisotropic protein microtubule. After solving the governing equations of microtubule motion, the effects of cytoplasm environment, microtubule dimensions and its mechanical properties, and material length scale parameters on the natural frequency of microtubules are investigated.

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A damped sandwich beam model based on symmetric–deviatoric couple stress theory

Cited by 25 publications

References 61 publications

Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory

Response of Thermoelastic Beam due to Thermal Source in Modified Couple Stress Theory

Analytic solution for size-dependent behaviors of micro-beam under forced vibration

Using a New Size Dependent Orthotropic Elastic Shell Model for the Investigation of Free Vibration of Protein Microtubules

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