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Simulation Studies of a Novel Formula for Predicting the Radius of Curvature of a Bimetallic Strip

Mannoj Paul Singh R *, Amol M Khatkhate**, Abizer Danpurwala***

*-*** Department Mechanical Engineering, Rizvi College of Engineering, Bandra (W), Mumbai, Maharashtra, India.

Periodicity:April - June'2020
DOI : https://doi.org/10.26634/jms.8.1.15415

Abstract

The empirical relationship used to predict the radius of curvature of a thin bimetallic strip at ambient temperature is flat, but it curves into an arc at a higher temperature, which is presented in this paper. The formula is validated with the finite element model (FEM) and its performance is compared with other models that exist in literature. Timoshenko in his paper on Bimetallic Thermostats has formulated the model for the radius of curvature. The Khatkhate Singh Mirchandani (KSM) formula presented here is derived from the Angel and Haritos approximation by introducing the KhaSinMir constant. Furthermore, the formula has been modified to make it independent of the elastic moduli. The simulation results and the excellent agreement with the Timoshenko formula are developed. The RMSE and χ² errors are very well within the stipulated limits and are an encouraging sign for the use of this formula. Also, the KSM model shows very good correlation with the Timoshenko formula for most commonly used bimetallic combination. i.e., Invar36 and Brass.

Keywords

Bimetallic Strip, INVAR36, Timoshenko, Low Coefficient of Expansion, Deflection, Finite Element Method.

How to Cite this Article?

Singh, R. M. P., Khatkhate, A., and Danpurwala, A. (2020). Simulation Studies of a Novel Formula for Predicting the Radius of Curvature of a Bimetallic Strip. i-manager's Journal on Material Science, 8(1), 17-25. https://doi.org/10.26634/jms.8.1.15415

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