Guanghui Xia , Su Zhang , Mingrui Liu , Yufeng Zhang , Tingting Han , Hua Xia , Wei Wang , Xiaofang Kang , Leiyu Chen , Weiqiu Chen , C.W. Lim
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引用次数: 0
Abstract
Based on the multi-directionality of the excitation source, a more accurate mathematical model is established by taking into account five kinds of nonlinearities, including material nonlinearity, geometric nonlinearity, damping nonlinearity, inertial nonlinearity and coupling nonlinearity. The effects of parameters such as excitation amplitude, damping coefficients, resistance, tip masses and nonlinear piezoelectric coefficients on the response and stability of the system are analyzed by approximate resolution. The result shows that variation of excitation amplitude induces no impact on the stability, while linear damping coefficients and nonlinear piezoelectric coefficients have remarkable impact on the unstable region. Through analyzing the influence of different parameters, the adjusting of linear damping and selecting appropriate piezoelectric material can greatly improve the stability in the low frequency range.
期刊介绍:
The International Journal of Non-Linear Mechanics provides a specific medium for dissemination of high-quality research results in the various areas of theoretical, applied, and experimental mechanics of solids, fluids, structures, and systems where the phenomena are inherently non-linear.
The journal brings together original results in non-linear problems in elasticity, plasticity, dynamics, vibrations, wave-propagation, rheology, fluid-structure interaction systems, stability, biomechanics, micro- and nano-structures, materials, metamaterials, and in other diverse areas.
Papers may be analytical, computational or experimental in nature. Treatments of non-linear differential equations wherein solutions and properties of solutions are emphasized but physical aspects are not adequately relevant, will not be considered for possible publication. Both deterministic and stochastic approaches are fostered. Contributions pertaining to both established and emerging fields are encouraged.