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Rezaei, M.P.; Zamanian, M., E-mail: parsa.rezaei.2014@gmail.com, E-mail: zamanian@khu.ac.ir2017
AbstractAbstract
[en] Highlights: • Studying influences of nonideal supports on the nonlinear behavior of microsystems. • Modeling the nonideality of support using all horizontal, vertical and rotational springs. • Solving the two-dimensional equations of motion without combining them. • Assuming the nonideality of supports only in 1 or 2 directions can be inaccurate. In this paper, the influences of nonideal boundary conditions (due to flexibility) on the primary resonant behavior of a piezoelectrically actuated microbeam have been studied, for the first time. The structure has been assumed to treat as an Euler–Bernoulli beam, considering the effects of geometric nonlinearity. In this work, the general nonideal supports have been modeled as a the combination of horizontal, vertical and rotational springs, simultaneously. Allocating particular values to the stiffness of these springs provides the mathematical models for the majority of boundary conditions. This consideration leads to use a two-dimensional analysis of the multiple scales method instead of previous works' method (one-dimensional analysis). If one neglects the nonideal effects, then this paper would be an effort to solve the two-dimensional equations of motion without a need of a combination of these equations using the shortening or stretching effect. Letting the nonideal effects equal to zero and comparing their results with the results of previous approaches have been demonstrated the accuracy of the two-dimensional solutions. The results have been identified the unique effects of constraining and stiffening of boundaries in horizontal, vertical and rotational directions. This means that it is inaccurate to suppose the nonideality of supports only in one or two of these directions like as previous works. The findings are of vital importance as a better prediction of the frequency response for the nonideal supports. Furthermore, the main findings of this effort can help to choose appropriate boundary conditions for desired systems.
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S1386947716303757; Available from http://dx.doi.org/10.1016/j.physe.2016.09.005; Copyright (c) 2016 Elsevier B.V. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)
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Journal Article
Journal
Physica E. Low-Dimensional Systems and Nanostructures (Print); ISSN 1386-9477;
; v. 85; p. 285-293

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