Optimum Design of Hybrid Shape Memory Alloy Sandwich Panels for Maximum Natural Frequencies


Crowe, C. Robert


The paper presents a solution of the vibration problem for a sandwich panel with shape memory alloy (SMA) fibers embedded within resin sleeves and positioned at the middle plane of the panel. The fibers whose axial displacements are restricted, generate significant tensile stresses when working in the reverse transformation phase. The problem is formulated as follows: `Design such a system of SMA fibers that the fundamental frequency of the sandwich panel will not decrease below a prescribed value due to an increase of temperature within a specific range'. The solution of this problem that requires a minimum number of SMA fibers implies their nonuniform distribution. The design considered in the present paper is limited by the case where SMA fibers are oriented in one direction which may provide a better technological solution. The analysis is based on a new constitutive law proposed by the author. This law can accurately reflect the behavior of a constrained SMA fiber in the reverse transformation phase. It is shown that in SMA sandwich panels, the fundamental frequency can be kept equal or even higher than its room-temperature counterpart, in spite of the presence of compressive thermally-induced stresses.

Meeting Name

Proceedings of SPIE - The International Society for Optical Engineering (1996, San Diego, CA, USA)


Mechanical and Aerospace Engineering

Document Type

Article - Conference proceedings

Document Version


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© 1996 SPIE -- The International Society for Optical Engineering, All rights reserved.

Publication Date

01 Jan 1996