貼覆與內埋壓電材料結構應力與撓曲分析

The Stress and Deflection Analysis of The Beam and Plate Induced by The Surface Bonded or Embedded Piezoelectric Actuators

葉天嘯(Tien-Hsiao Yeh)

指導教授 ： 何旭川

元智大學/工程學院/機械工程學系/碩士(2008年)

https://doi.org/10.6838/YZU.2008.00283

摘要

本文以樑理論為基礎結合應變連續條件，推導貼覆與內埋壓電材料施加電壓對樑與板結構所產生之軸向力與彎曲力矩，計算樑與板結構沿厚度方向之應力分佈，再藉由參數分析暸解材料性質與幾何尺寸對結構應力分佈之影響。另再以壓電材料對板結構所產生之彎矩為負載，應用板理論推導平板撓曲位移，並以三維有限元素分析結果比較，驗證理論推導之準確性。最後以例題說明陣列式壓電致動器控制結構變形與形貌之可行性。

關鍵字

壓電材料 ； 曲力矩 ； 撓曲位移 ； 板理論 ； 陣列式壓電致動器

並列摘要

In this investigation, the normal force and bending moment induced by the surface bonded or embedded piezoelectric actuators on the beam and plate are derived basing on the Euler beam theory. The effects of material property and thickness on the stress distribution are examined through a parametric study. The flexural deflection of a simply supported plate subjected to the bending moment is derived basing on the plate theory. The deflection is validated with the 3-D finite element results. Several examples are presented to demonstrate the capability of using the piezoelectric actuators to control the deformed shape of the plate.

並列關鍵字

piezoelectric actuator ； bending moment ； deflection ； plate theory

參考文獻

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