Model transitions and optimization problem in multi-flexible-body modeling of biopolymers

Mohammad Poursina, Imad Khan, Kurt S. Anderson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

6 Citations (Scopus)

Abstract

This paper presents an efficient algorithm for the simulation of multi-flexible-body systems undergoing discontinuous changes in model definition. The equations governing the dynamics of the transitions from a higher to a lower fidelity model and vice versa are formulated through imposing/removing certain constraints on/from the system. Furthermore, the issue of the nonuniqueness of the results associated with the transition from a lower to a higher fidelity model is dealt with as an optimization problem. This optimization problem is subjected to the satisfaction of the impulse-momentum equations. The divide and conquer algorithm (DCA) is applied to formulate the dynamics of the transition. The DCA formulation in its basic form is time optimal and results in linear and logarithmic complexity when implemented in serial and parallel, respectively. As such, it reduces the computational cost of formulating and solving the optimization problem in the transitions to the finer models. Necessary mathematics for the algorithm implementation is developed and a numerical example is given to validate the method.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages759-770
Number of pages12
Volume4
EditionPARTS A AND B
DOIs
StatePublished - 2011
Externally publishedYes
EventASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011 - Washington, DC, United States
Duration: Aug 28 2011Aug 31 2011

Other

OtherASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011
CountryUnited States
CityWashington, DC
Period8/28/118/31/11

Fingerprint

Biopolymers
Transition Model
Optimization Problem
Divide-and-conquer Algorithm
Modeling
Fidelity
Flexible multibody Systems
Nonuniqueness
Model
Impulse
Computational Cost
Governing equation
Momentum
Logarithmic
Efficient Algorithms
Numerical Examples
Necessary
Formulation
Costs
Simulation

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

Cite this

Poursina, M., Khan, I., & Anderson, K. S. (2011). Model transitions and optimization problem in multi-flexible-body modeling of biopolymers. In Proceedings of the ASME Design Engineering Technical Conference (PARTS A AND B ed., Vol. 4, pp. 759-770) https://doi.org/10.1115/DETC2011-48386

Model transitions and optimization problem in multi-flexible-body modeling of biopolymers. / Poursina, Mohammad; Khan, Imad; Anderson, Kurt S.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 4 PARTS A AND B. ed. 2011. p. 759-770.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Poursina, M, Khan, I & Anderson, KS 2011, Model transitions and optimization problem in multi-flexible-body modeling of biopolymers. in Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B edn, vol. 4, pp. 759-770, ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2011, Washington, DC, United States, 8/28/11. https://doi.org/10.1115/DETC2011-48386
Poursina M, Khan I, Anderson KS. Model transitions and optimization problem in multi-flexible-body modeling of biopolymers. In Proceedings of the ASME Design Engineering Technical Conference. PARTS A AND B ed. Vol. 4. 2011. p. 759-770 https://doi.org/10.1115/DETC2011-48386
Poursina, Mohammad ; Khan, Imad ; Anderson, Kurt S. / Model transitions and optimization problem in multi-flexible-body modeling of biopolymers. Proceedings of the ASME Design Engineering Technical Conference. Vol. 4 PARTS A AND B. ed. 2011. pp. 759-770
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