Abstract
This chapter starts with the historical development of vibrations of structural elements, and then the discussions and classifications of micromechanical models for advanced composite materials, macro and micro/nano continuum mechanics theories and thermal field are presented. To study the dynamic behaviour of structural elements, a mathematical model is obtained for nonuniform functionally graded nanobeam subjected to the thermal environment using various physical assumptions. Further, numerical techniques are employed to obtain the approximate solution of this model. Eventually, a debate on quadrature methods to reveal their efficiency and convergence following the analysis of vibration characteristics of nonuniform functionally graded nanobeams under thermal field is presented.
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Acknowledgements
The financial support provided by the Indian Institute of Technology Delhi, India is gratefully acknowledged by the Dr. Rahul Saini, to carrying this work at IIT Delhi, India.
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Saini, R. (2022). Thermoelastic Vibrations of Functionally Graded Nonuniform Nanobeams. In: Katiyar, J.K., Panwar, V., Ahlawat, N. (eds) Nanomaterials for Advanced Technologies. Springer, Singapore. https://doi.org/10.1007/978-981-19-1384-6_8
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