Modelling of Metastable Equilibrium State using PRB Principles
Krishna Dheeraj Kommuri (TU Delft - Mechanical Engineering)
Just Herder – Mentor (TU Delft - Mechanical Engineering)
Freek Broeren – Mentor (TU Delft - Mechanical Engineering)
Gerwin Smit – Graduation committee member (TU Delft - Mechanical Engineering)
Milton Aguirre – Graduation committee member (Milton Medical B.V.)
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Abstract
This thesis proposes the introduction of a metastable equilibrium state in a viscoelastic pre-curved beam. Generally, metamaterials with bistable unit cells need an external application of force to restore, leading to the contemplation of possible structures with self restorable behaviour. Such restorable nature is associated with metastable equilibrium, which is a time-dependent equilibrium state. The objective of the topic is to build a proof of concept for metastability in a pre-curved beam and identify the influence of geometric parameters on metastability. In the course of the thesis, various models of bistable designs are classified. A feasible bistable mechanism was selected, and the metastable nature is introduced through viscoelasticity. In this thesis, an analytical model is formulated by combining an equivalent Pseudo Rigid Body (PRB) model of the pre-curved beam (modelling the beam's compliance) with Standard Linear Solid (SLS) model (modelling the beam’s viscoelasticity). Prototypes are manufactured by using FDM printing of TPU material. Experimental studies are performed for the evaluation of material properties and testing for metastability in pre-curved beams with various shape factors. The results of experimental studies proved the possibility of metastable equilibrium in viscoelastic pre-curved beams. Later, discussions are offered to improve the predictability of metastability in pre-curved beams and the scope for future studies.