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Structure-Preserving Integrators in Nonlinear Structural Dynamics and Flexible Multibody Dynamics
Hardcover
Series: CISM International Centre for Mechanical Sciences, Book 565
Technology & EngineeringGeneral Science
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ISBN10: 3319318772
ISBN13: 9783319318776
Publisher: Springer Nature
Published: May 18 2016
Pages: 291
Weight: 1.31
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9783319318776
Publisher: Springer Nature
Published: May 18 2016
Pages: 291
Weight: 1.31
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
The Energy-momentum method for flexible multibody dynamics: EM integrators for elastic cosserat points.- EM integrators for rigid body dynamics.- EM integrators for flexible multibody dynamics.- Foundations of time integration methods: basics of time integration in nonlinear system dynamics.- Time integration in industrial multibody system simulation.- Time integration methods for differential equations on manifolds.- Generalized-alpha Lie group time integration.- Spurious oscillations in generalized-alpha time integration.- The Absolute Nodal Coordinate Formulation: Introduction to ANCF.- 2D Bernoulli-Euler (thin) ANC element.- 3D shear and cross section deformable ANC element.- 2D shear and cross section deformable fully parameterized ANCF.- 2D shear and cross section deformable gradient deficient ANCF.- Selection of boundary conditions for 2D ANC elements.- 3D shear and cross section deformable ANC elements.- Variants of the energy-momentum method: Numerical time integration in solid mechanics: the role of dissipation.- The discrete gradient.- High frequency dissipative methods for nonlinear solid dynamics.- Energy decaying, momentum conserving methods.- The Energy-Entropy-Momentum method.- Conservative and dissipative methods in flexible multibody dynamics: Second order time integrators.- Conservative / dissipative time integration schemes.- Lie group formalisms.- A brief course on variational integrators
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