Impacts of Small-Scale Effect and Nonlinear Damping on the Nonlinear Vibrations of Electrostatic Microresonators

Meng, Dayao; Huang, Kun; Xu, Wei

doi:10.3390/mi14010170

Cited by 3 publications

(2 citation statements)

References 31 publications

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“…As mentioned above, the nonlinear damping and stiffness together with impact-induced nonlinearity would determine the overall dynamical behavior of the vibro-impact systems. The resultant effects of combined intrinsic and impact-induced nonlinearities will be introduced in section 2.4 and the detailed modeling for them can be found in [60][61][62][63][64][65][66].…”

Section: Model and Behavior Representationsmentioning

confidence: 99%

Micromechanical vibro-impact systems: a review

Tsai

2023

J. Micromech. Microeng.

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Spurred by the invention of the tapping-mode atomic force microscopy three decades ago, various micromechanical structures and systems that utilize parts with mechanical impact have been proposed and developed since then. While sharing most of the dynamical characteristics with macroscopic vibro-impact systems and benefiting from extensive theories developed, microscale counterparts possess higher percentage of surface force, higher resonance frequency and Q, and more prominent material and structural nonlinearities, all of which lead to unique features and in turn useful applications not seen in macroscopic vibro-impact systems. This paper will first present the basics of vibro-impact systems and techniques used for analyzing their nonlinear behaviors and then review the contact force modeling with an emphasis in microscale and numerical analysis tools. Finally, various applications of microscale vibro-impact systems will be reviewed and discussed. This review aims to provide a comprehensive picture of MEMS vibro-impact systems and inspire more innovative applications that take full advantage of the beauty of nonlinear vibro-impact dynamics in the microscale.

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Section: Model and Behavior Representationsmentioning

confidence: 99%

Micromechanical vibro-impact systems: a review

Tsai

2023

J. Micromech. Microeng.

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“…Many microelectronic devices and sensor networks, such as implanted medical machines and embedded sensors, are inconvenient to replace their batteries, so energy supply technology is needed to provide them with a reliable and continuous energy supply to overcome the limitations. The commonly used approaches for harvesting ambient vibration energy include triboelectric, electromagnetic, electrostatic [ 3 ], and piezoelectric energy harvesting. The merits of simple structure, large power density, and simple operation mechanisms make piezoelectric energy harvesters (PEHs) widely employed in the ocean [ 4 ], pavement [ 5 , 6 , 7 ], and vibration energy harvesting [ 8 , 9 , 10 ].…”

Section: Introductionmentioning

confidence: 99%

A Novel Bird-Shape Broadband Piezoelectric Energy Harvester for Low Frequency Vibrations

et al. 2023

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This work presents a novel bird-shaped broadband piezoelectric energy harvester based on a two-DOF crossed beam for low-frequency environmental vibrations. The harvester features a cantilever mounted on a double-hinged beam, whose rotating motions effectively diminish its natural frequencies. Numerical simulation based on the finite element method is conducted to analyze the modal shapes and the harmonic response of the proposed harvester. Prototypes are fabricated and experiments are carried out by a testing system, whose results indicate a good agreement with the simulation. The multi-frequency energy harvesting is achieved at the first-, second-, and fifth-order resonances. In particular, the proposed harvester demonstrates the remarkable output characteristics of 9.53 mW and 1.83 mW at frequencies as low as 19.23 HZ and 45.38 Hz, which are superior to the majority of existing energy harvesters. Besides, the influences of key parameters on the harvesting performance are experimentally investigated to optimize the environmental adaptability of the harvester. This work provides a new perspective for efficiently harvesting the low-frequency vibration energy, which can be utilized for supplying power to electronic devices.

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Vortex-Induced Nonlinear Bending Vibrations of Suspension Bridges with Static Wind Loads

Yao

Huang

2023

Buildings

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A low stiffness makes long-span suspension bridges sensitive to loads, and this sensitivity is particularly significant for wind-induced nonlinear vibrations. In the present paper, nonlinear vibrations of suspension bridges under the combined effects of static and vortex-induced loads are explored using the nonlinear partial differential–integral equation that models the plane bending motion of suspension bridges. First, we discretized the differential–integral equation through the Galerkin method to obtain the nonlinear ordinary differential equation that describes the vortex-induced vibrations of the bridges at the first-order symmetric bending mode. Then, the approximate analytical solution of the ordinary differential equation was obtained using the multiple scales method. Finally, the analytical solution was applied to reveal the relationships between the vibration amplitude and other parameters, such as the static wind load, the frequency of dynamic load, structural stiffness, and damping. The results show that the static wind load slightly impacts the bridge’s vibrations if its influence on the natural frequency of bridges is ignored. However, the bridge’s vibrations are sensitive to the load frequency, structural stiffness, and damping. The vibration amplitude, as a result, may dramatically increase if the three parameters decrease.

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Impacts of Small-Scale Effect and Nonlinear Damping on the Nonlinear Vibrations of Electrostatic Microresonators

Cited by 3 publications

References 31 publications

Micromechanical vibro-impact systems: a review

Micromechanical vibro-impact systems: a review

A Novel Bird-Shape Broadband Piezoelectric Energy Harvester for Low Frequency Vibrations

Vortex-Induced Nonlinear Bending Vibrations of Suspension Bridges with Static Wind Loads

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