形状記憶合金コイルばねのアクチュエータ動作に関する大変形解析

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  • Large deformation analysis on the actuation of shape memory alloy helical coil

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<p>This study is concerned with extremely large extension of helical coils when a densely wound coil is extended to roughly wound one. When shape memory alloy is used as an actuator, a helical coil is useful for getting large expansion resulting in large stroke. When a helical coil is deformed, the pitch angle increases to change from dense winding to sparse winding, and the coil diameter decreases simultaneously. It is noted that, since the deformation is accompanied by rotation, it is necessary to consider the rotation angle of the coil. In order to treat these geometrical changes correctly, elastic-plastic deformation analysis should be developed in place of using well-known formula in elasticity. First of all, we obtained the load-elongation characteristics in the elastic region. Next, an equation that gives the elastic deformation and shape memory strain boundary of the wire cross section that moves with increasing the elongation was derived on the basis of the maximum shear stress theory. The load-elongation characteristics at large deformation was calculated from the balance between the force acting on the wire cross section and the bending moment and torque of the external force. Numerical calculation was made to deal with mathematical expressions that cannot be expressed by elementary functions. The experimental results and the analysis results showed good agreement. Further study may be required for getting higher accuracy.</p>

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