Multibody Dynamics: Computational Methods and Applications by Josep M. Font-Llagunes (eds.)

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By Josep M. Font-Llagunes (eds.)

This e-book contains chosen papers from the ECCOMAS Thematic convention on Multibody Dynamics, that happened in Barcelona, Spain, from June 29 to July 2, 2015. by means of having its beginning in analytical and continuum mechanics, in addition to in computing device technological know-how and utilized arithmetic, multibody dynamics presents a foundation for research and digital prototyping of leading edge functions in lots of fields of up to date engineering. With the usage of computational types and algorithms that classically belonged to diversified fields of utilized technology, multibody dynamics promises trustworthy simulation structures for varied highly-developed commercial items similar to car and railway platforms, aeronautical and area cars, robot manipulators, clever buildings, biomechanical structures, and nanotechnologies.

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Extra resources for Multibody Dynamics: Computational Methods and Applications

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Nonlinear Dyn 70(1):871–889 2 Enhancing the Performance of the Divide-and-Conquer Algorithm 31 8. Malczyk P, Mukherjee RM (2013) Parallel algorithm for modeling multi-rigid body system dynamics with nonholonomic constraints. In: Proceedings of the ASME 2013 international design engineering technical conferences, pp 1–9 9. Malczyk P, Frczek J, Cuadrado J (2010) Parallel index-3 formulation for real-time multibody dynamics simulations. In: Proceedings of the 1st joint international conference on multibody system dynamics.

1 depicts a shell of thickness h, midplane surface S, and normal material line L, in its reference and deformed configurations. The volume of the shell is generated by sliding line L over the shell’s midplane. A set of material coordinates is selected as follows: curvilinear coordinate η1 and η2 describe curves within surface S and η3 is along line L. Point B is located at the intersection of the normal material line with the shell’s midplane. Let r B (η1 , η2 ) denote the position vector of point B with respect to the origin of the reference frame, F I = [O, I = (¯ı 1 , ı¯2 , ı¯3 )].

The recovery process is based on the two-dimensional shell solutions. In the reduction process, external loads need to be taken into account. 44) will be solved again to obtain warping and strain measures due to stress resultants and external loads. 44) can be expanded as Taylor’s series up to order O, O X = k=0 α1m α2n (k) X , m! n! m,n O Y∗ = η1m η2n (k) Y . m! n! 54) (k)T ∗(k)T (k)T = {uˆ m,n E m,n } stores the coefficients of the expansion of nodal where array X m,n (k)T ∗(k)T F m,n } those of the expansion warping and strain measures and array Y (k)T = { Qˆ m,n m,n of nodal external loads and stress resultants.

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