Instability Study Of Functionally Graded Micro-Beam Under The Thermal-Mechanical-Electrical Multifield Coupling

Li, Shoubao; Jia, Xiaoli; Mi, Bai-chuan; Ke, Liao-Liang; Yang, Jie; Kitipornchai, S.

doi:10.1109/spawda51471.2021.9445436

2020 15th Symposium on Piezoelectrcity, Acoustic Waves and Device Applications (SPAWDA) 2021

DOI: 10.1109/spawda51471.2021.9445436

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Instability Study Of Functionally Graded Micro-Beam Under The Thermal-Mechanical-Electrical Multifield Coupling

Shoubao Li

Xiaoli Jia

Bai-chuan Mi

et al.

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2023

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Nonlinear Eigen frequencies of a functionally graded porous nano-beam with respect to the coulomb and Casimir forces

Папкова

Yakovleva

2023

E3S Web of Conf.

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A new mathematical model of a porous functionally graded micro/nano-beam under the action of the Casimir force and the Coulomb force is constructed in this paper. The construction of the mathematical model takes into account the Euler-Bernoulli kinematic model. The dimensional-dependent parameter is taken into account by modified moment theory of elasticity. The variational, differential equations, boundary and initial conditions are derived from Ostrogradsky-Hamiltonian variational principle. The problem of non-linear natural oscillations of a beam under the action of force Casimir and Coulomb force is solved. The influence of the Casimir and Coulomb forces on the nonlinear eigenfrequencies of the micro/nano-beam is shown.

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Nonlinear Eigen frequencies of a functionally graded porous nano-beam with respect to the coulomb and Casimir forces

Папкова

Yakovleva

2023

E3S Web of Conf.

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Instability Study Of Functionally Graded Micro-Beam Under The Thermal-Mechanical-Electrical Multifield Coupling

Cited by 1 publication

References 9 publications

Nonlinear Eigen frequencies of a functionally graded porous nano-beam with respect to the coulomb and Casimir forces

Nonlinear Eigen frequencies of a functionally graded porous nano-beam with respect to the coulomb and Casimir forces

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