Determination of Spring Constant for Simulating Deformable Object under Compression

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Abstract:

It is not easy to simulate realistic mechanical behaviors of elastically deformable objects with most existing mass-spring systems for their lack of simple and clear methods to determine spring constants considering material properties (e.g. Young's modulus, Poisson’s ratio). To overcome this obstacle, we suggest an alternative method to determine spring constants for mechanical simulation of deformable objects under compression. Using the expression derived from proposed method, it is possible to determine one and the same spring constant for a mass-spring model depending on Young's modulus, geometric dimensions and mesh resolutions of the 3-D model. Determination of one and the same spring constant for a mass-spring model in this way leads to simple implementation of the mass-spring system. To validate proposed methodology, static deformations (e.g. compressions and indentations) simulated with mass-spring models and FEM reference models are compared.

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Periodical:

Key Engineering Materials (Volumes 417-418)

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369-372

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Online since:

October 2009

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] D. Terzopoulos, J. Platt, A. Barr, and K. Fleischer, Elastically Deformable Models, SIGGRAPH Computer Graphics, vol. 21, no. 4 (1987), pp.205-214.

DOI: 10.1145/37402.37427

Google Scholar

[2] B. Lloyd, G. Székely, and M. Harders, Identification of Spring Parameters for Deformable Object Simulation, IEEE Trans. Visualization And Computer Graphics, vol. 13, no. 5 (2007), pp.1081-1094.

DOI: 10.1109/tvcg.2007.1055

Google Scholar

[3] G. Bianchi, B. Solenthaler, G. Sze´kely, and M. Harders, Simultaneous Topology and Stiffness Identification for Mass-Spring Models Based on FEM Reference Deformations, Proc. Medical Image Computing and Computer-Assisted Intervention, C. Barillot, ed., vol. 2 (2004).

DOI: 10.1007/978-3-540-30136-3_37

Google Scholar

[4] A. Van Gelder, Approximate Simulation of Elastic Membranes by Triangle Meshes, Journal of Graphics Tools, vol. 3 (1998), pp.21-42.

Google Scholar