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• W3048312074 endingPage "2030025" @default.
• W3048312074 startingPage "2030025" @default.
• W3048312074 abstract "We characterize the dynamical states of a piezoelectric micrcoelectromechanical system (MEMS) using several numerical quantifiers including the maximum Lyapunov exponent, the Poincaré Surface of Section and a chaos detection method called the Smaller Alignment Index (SALI). The analysis makes use of the MEMS Hamiltonian. We start our study by considering the case of a conservative piezoelectric MEMS model and describe the behavior of some representative phase space orbits of the system. We show that the dynamics of the piezoelectric MEMS becomes considerably more complex as the natural frequency of the system’s mechanical part decreases. This refers to the reduction of the stiffness of the piezoelectric transducer. Then, taking into account the effects of damping and time-dependent forces on the piezoelectric MEMS, we derive the corresponding nonautonomous Hamiltonian and investigate its dynamical behavior. We find that the nonconservative system exhibits a rich dynamics, which is strongly influenced by the values of the parameters that govern the piezoelectric MEMS energy gain and loss. Our results provide further evidences of the ability of the SALI to efficiently characterize the chaoticity of dynamical systems." @default.
• W3048312074 created "2020-08-13" @default.
• W3048312074 creator A5021668990 @default.
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• W3048312074 date "2020-07-01" @default.
• W3048312074 modified "2023-10-15" @default.
• W3048312074 title "Chaotic Dynamics of Piezoelectric MEMS Based on Maximum Lyapunov Exponent and Smaller Alignment Index Computations" @default.
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• W3048312074 doi "https://doi.org/10.1142/s0218127420300256" @default.
• W3048312074 hasPublicationYear "2020" @default.
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