Dynamic properties of flexural beams using a nonlocal elasticity model

Pin Lu; H. P. Lee; C. Lu; P. Q. Zhang

doi:10.1063/1.2189213

Dynamic properties of flexural beams using a nonlocal elasticity model

Pin Lu^*
, H. P. Lee
, C. Lu
, P. Q. Zhang

^*Corresponding author for this work

Agency for Science, Technology and Research, Singapore
University of Science and Technology of China

Research output: Contribution to journal › Article › peer-review

450 Scopus citations

Abstract

In this paper, a nonlocal Bernoulli-Euler beam model is established based on the theory of nonlocal elasticity. Frequency equations and modal shape functions of beam structures with some typical boundary conditions are derived based on the model. The corresponding dynamic properties are presented and discussed in detail, which are shown to be very different from those predicted by classic elasticity theory when nonlocal effects are significant. The results can be applied to modeling and characterization of size-dependent mechanical properties of micro- or nanoelectromechanical system (MEMS or NEMS) devices.

Original language	English
Article number	073510
Journal	Journal of Applied Physics
Volume	99
Issue number	7
DOIs	https://doi.org/10.1063/1.2189213
State	Published - Apr 2006
Externally published	Yes

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title = "Dynamic properties of flexural beams using a nonlocal elasticity model",

abstract = "In this paper, a nonlocal Bernoulli-Euler beam model is established based on the theory of nonlocal elasticity. Frequency equations and modal shape functions of beam structures with some typical boundary conditions are derived based on the model. The corresponding dynamic properties are presented and discussed in detail, which are shown to be very different from those predicted by classic elasticity theory when nonlocal effects are significant. The results can be applied to modeling and characterization of size-dependent mechanical properties of micro- or nanoelectromechanical system (MEMS or NEMS) devices.",

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AU - Lee, H. P.

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N2 - In this paper, a nonlocal Bernoulli-Euler beam model is established based on the theory of nonlocal elasticity. Frequency equations and modal shape functions of beam structures with some typical boundary conditions are derived based on the model. The corresponding dynamic properties are presented and discussed in detail, which are shown to be very different from those predicted by classic elasticity theory when nonlocal effects are significant. The results can be applied to modeling and characterization of size-dependent mechanical properties of micro- or nanoelectromechanical system (MEMS or NEMS) devices.

AB - In this paper, a nonlocal Bernoulli-Euler beam model is established based on the theory of nonlocal elasticity. Frequency equations and modal shape functions of beam structures with some typical boundary conditions are derived based on the model. The corresponding dynamic properties are presented and discussed in detail, which are shown to be very different from those predicted by classic elasticity theory when nonlocal effects are significant. The results can be applied to modeling and characterization of size-dependent mechanical properties of micro- or nanoelectromechanical system (MEMS or NEMS) devices.

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DO - 10.1063/1.2189213

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JO - Journal of Applied Physics

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Dynamic properties of flexural beams using a nonlocal elasticity model

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