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Modification of dynamic characteristics of FGM plates with integrated piezoelectric layers using first‐ and second‐order approximations
Author(s) -
Aryana F.,
Bahai H.,
Mirzaeifar R.,
Yeilaghi A.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1927
Subject(s) - taylor series , piezoelectricity , modal , finite element method , newmark beta method , sensitivity (control systems) , boundary value problem , plate theory , material properties , structural engineering , order (exchange) , functionally graded material , boundary (topology) , modal analysis , mathematics , mathematical analysis , materials science , engineering , composite material , electronic engineering , finance , economics
This paper proposes a method for calculating the required changes in the physical properties of plates made of functionally graded materials (FGM) in order to achieve the desired eigenfrequency shifts in the structure. A finite element formulation based on the classical laminated plate theory (CLPT) is presented for an FGM plate with integrated piezoelectric layers. Using this formulation, an efficient method based on the first‐order and second‐order approximations in Taylor expansion is expressed to calculate the corresponding changes in the plate modal properties due to changes in parameters which characterize the structure's dynamic behaviour. An initial sensitivity analysis is carried out to identify the regions within the structure where modifications are most effective on the structure's dynamic characteristics. The proposed algorithm is applied to a case study with two different boundary conditions and the results are validated against exact solutions. The influence of structural modifications on dynamic response of the plate is also studied using the Newmark‐β method. Copyright © 2006 John Wiley & Sons, Ltd.