A general and efficient multiple segment method for kinetostatic analysis of planar compliant mechanisms

Abstract In the past decades, numerous mechanics models and mathematical formulations have been developed for kinetostatic analysis of compliant mechanisms. However, it is rather tedious and error-prone to derive analysis equations based on these models. In this work, we present a general kinetostatic analysis framework for planar compliant mechanisms in which 2D beams can be represented by multiple segments of three commonly used models: beam-constraint-model (BCM), linear Euler–Bernoulli beam and pseudo-rigid-body models (PRBM). The framework is developed such that any beam model with a closed-form energy equation can be integrated without the deep understanding of the proposed scheme. The static equilibrium equations are automatically derived based on kinematic vector loop and solved based on minimization of total potential energy. Since the PRBM only returns the tip deflection, we have developed a procedure for calculating strain energy, actual beam shape and bending stresses from the tip deflection. This framework has been implemented DAS2D, an open-source object oriented software.

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