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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 국제구조공학회 Smart Structures and Systems, An International Journal Smart Structures and Systems, An International Journal Vol.27 No.1
- 발행연도
- 2021.1
- 수록면
- 1 - 18 (18page)
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In the present study, the free vibration analysis of a size-dependent micro composite Timoshenko beam model reinforced by various distributions of carbon nanotubes under temperature changes and two-dimensional magnetic field is investigated based on modified strain gradient theory. Also, the effects of environment are simulated by orthotropic elastic foundation and it is assumed that the material properties are temperature-dependent. Mathematical formulations are obtained using Hamilton's principle and the governing equations of motion are derived based on energy approach and variation method. These equations are solved using semi-analytical and numerical methods such as Navier's type solution, finite element method and generalized differential quadrature method for various boundary conditions. The obtained results of this study are compared with the other previous researches and there is a good agreement between them. The main purpose of this work is the comparison of various solution methods on the problem outputs. Thus, the results are compared together and the effects of solution approach on the dimensionless natural frequencies is developed. Moreover, the effects of length-to-thickness ratio, magnetic field, temperature changes, elastic foundation and carbon nanotubes volume fractions on the dimensionless natural frequencies are studied. The results of this article demonstrate that the micro composite Timoshenko beam reinforced by FG-O and FG-X CNTs have lowest and highest dimensionless natural frequency, respectively. It is investigated that the dimensionless natural frequency enhances by increasing the magnetic field in x and z-directions.
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참고문헌 (77)
참고문헌 신청
S.M. AkhavanAlavi / 2019 / Active control of micro Reddy beam integrated with functionally graded nanocomposite sensor and actuator based on linear quadratic regulator method / European Journal of Mechanics - A/Solids 74:449~461
Cosmin Anitescu / 2019 / Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems / Computers, Materials & Continua 59(1):345~359
R. Ansari / 2011 / Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory / Composite Structures 94(1):221~228
R. Ansari / 2013 / Size-dependent bending, buckling and free vibration of functionally graded Timoshenko microbeams based on the most general strain gradient theory / Composite Structures 100:385~397
R. Ansari / 2014 / Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams / Composite Structures 113:316~327
Cosmin Anitescu / 2019 / Artificial Neural Network Methods for the Solution of Second Order Boundary Value Problems / Computers, Materials & Continua 59(1):345~359
R. Ansari / 2011 / Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory / Composite Structures 94(1):221~228
R. Ansari / 2013 / Size-dependent bending, buckling and free vibration of functionally graded Timoshenko microbeams based on the most general strain gradient theory / Composite Structures 100:385~397
R. Ansari / 2014 / Nonlinear forced vibration analysis of functionally graded carbon nanotube-reinforced composite Timoshenko beams / Composite Structures 113:316~327
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