A theoretical formulation for frequency analysis of thin shells laminated with LASMP

Under light exposure, light-activated shape-memory polymer (LASMP) exhibits variational Young’s modulus. With this non-contact mechanism, frequency manipulation of LASMP laminated structures, i.e., beams, plates, rings and shells, can be realized. A theoretical formulation for frequency analysis of thin shells laminated with LASMP is presented in this work. The versatility of the proposed formulation focuses on two parts: (1) mathematical formulation of LASMP laminated non-shell and shell structures for frequency manipulation can be directly expressed using two curvature radii and two Lamé parameters of the defined structure; (2) multiple LASMP patches with arbitrary location, area (total area of the patches less than the host structure) and shape can be designed for better frequency control effect. In order to show simplification procedures, the thin shells laminated with LASMP patches are simplified to four cases, for example, a beam, a plate, a circular ring and a cylindrical shell. Results demonstrate the versatility and validity of the proposed theoretical formulation.

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