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Modeling of Magnetomechanical Actuators in Laminated Structures

Aerospace Engineering, University of Maryland, College Park, MD 20742, USA, supratik{at}umd.edu

Jayasimha Atulasimha

Mechanical Engineering, Virginia Commonwealth University, Richmond, VA 23284, USA

Chaitanya Mudivarthi

Material Science and Engineering, University of Maryland, College Park, MD 20742, USA

Alison B. Flatau

Aerospace Engineering, University of Maryland, College Park, MD 20742, USA, Material Science and Engineering, University of Maryland, College Park, MD 20742, USA

A magnetomechanical plate model (MMPM) has been developed to predict the elastic and magnetostrictive strains and mechanical stress in laminated structures with magnetostrictive and non-magnetic layers under the simultaneous effect of quasi-static mechanical stress and magnetic field. This model was obtained by combining an energy-based statistical magnetomechanical model with the classical laminated plate theory. The magnetomechanical plate model was used to study a unimorph structure having a magnetostrictive iron—gallium (Galfenol) patch attached to different non-magnetic substrates. The actuation response from the patch was obtained for in-plane axial magnetic field acting on the unimorph. The MMPM was used to predict the normalized tip displacement due to induced-strain actuation in a unimorph cantilever beam and the results were compared with existing modeling techniques. The model was used to study the effect of tensile and compressive axial pre-loads on the actuation response of the structure. A study was also performed to understand the effect of total thickness of the structure, the ratio of the active/ passive layer thickness and the effect of the mechanical properties of different substrate materials on the actuator performance. A non-dimensional parameter ST _i (percentage strain transfer) was introduced to explain the behavior of the actuator in extension and bending dominated regimes and a critical thickness ratio (t_rc) was defined to demarcate these two regimes. The results demonstrate that the model captures the non-linearity in the magnetomechanical process and the different structural couplings.

Key Words: magnetostriction • magnetoelastic • actuator • plate-theory • laminated structure • iron—gallium (Galfenol).

This version was published on June 1, 2009

Journal of Intelligent Material Systems and Structures, Vol. 20, No. 9, 1121-1135 (2009)
DOI: 10.1177/1045389X09104262


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