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Structural Engineering and Mechanics Volume 87, Number 1, July10 2023 , pages 95-106 DOI: https://doi.org/10.12989/sem.2023.87.1.095 |
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The dynamic response of the FGM coated half-plane with hysteretic damping under time harmonic loading |
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Xiao-Min Wang, Liao-Liang Ke and Yue-Sheng Wang
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| Abstract | ||
| This paper investigates the dynamic response of a functionally graded material (FGM) coated half-plane excited by distributed time harmonic loading. Three types of typical distributed surface loads, including uniform load, Hertz load, and square-root singular load, are considered. The mass density and elastic modulus of the FGM coating are supposed to be described by the exponential function. The material damping is modelled by a linearly hysteretic damping which is expressed by a complex modulus in the time harmonic motion. Using Fourier integral transform technique and numerical integral method, the effects of the excitation frequency, gradient index, damping, and load type on the dynamic stresses and displacements are discussed. | ||
| Key Words | ||
| dynamic response; graded coating; hysteretic damping; time harmonic loading | ||
| Address | ||
| Xiao-Min Wang: Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China Liao-Liang Ke: Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing 100044, China; School of Mechanical Engineering, Tianjin University, Tianjin 300350, China Yue-Sheng Wang: School of Mechanical Engineering, Tianjin University, Tianjin 300350, China | ||