Maximization of natural frequencies for functionally graded rectangular plates / Aleksander Muc // W: Materials Science and Technologies : selected peer-reviewed full text papers from the ICSMM 2020, ICNME ... więcej

Maximization of natural frequencies for functionally graded rectangular plates / Aleksander Muc // W: Materials Science and Technologies : selected peer-reviewed full text papers from the ICSMM 2020, ICNME 2020, and ICNMS 2021 [Dokument elektroniczny] / ed. by Zong Jin Li. – Zurich : Trans Tech Publications, 2021. – (Key Engineering Materials, ISSN 1662-9795 ; 891). – S. 116-121 : il. (w tym kolor.). – Tryb dostępu: https://www.scientific.net/book/materials-science-and-technologies/978-3-0357-3789-9. – Bibliogr. 14 poz., Abstr. – Mat. konf.: 4th International Conference on Sensors, Materials and Manufacturing (ICSMM 2020), Chiny, Macau, 20-22.11.2020. – doi: 10.4028/www.scientific.net/KEM.891.116. – ISBN 978-3-0357-3789-9 (eBook). – ISBN 978-3-0357-1789-1 (softcover). – ISBN 978-3-0357-2789-0 (CD)

In this paper optimal design of free vibrations for functionally graded plates is studied using the analytical methods. The analytical methods can be employed for the solution of six of 21 arbitrary boundary ... więcej

In this paper optimal design of free vibrations for functionally graded plates is studied using the analytical methods. The analytical methods can be employed for the solution of six of 21 arbitrary boundary conditions (the combinations of clamped, simply supported and free). The influence of various models of porosity and forms of different reinforcements with nanoplatelets and carbon nanotubes are investigated, including variations of stiffness/density along the thickness of a plate. The analysis is carried out for the classical plate theory. Parametric studies illustrate the possibility of increasing natural frequencies and the necessity of implementing the optimization techniques to find the best solutions from the engineering point of view.