Dynamics of Multibody Systems: Contents

By Ahmed A Shabana. 2005

2,372 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/ab53f674555b15e2e7b76af01915ec856ffeddcc

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

In Control and Systems Engineering

Citations in the corpus

Describing Rigid-Flexible Multibody Systems Using Absolute Coordinates (2003, methodology): “where Cq and Cs are the Jacobians of the vector of constraints C with respect to the system coordinates q and parameters s, respectively, λ is the vector of Lagrange multipliers, and Qd is a quadratic velocity vector that results from differentiating the constraint equations twice with respect to ti”
Twenty-five years of natural coordinates (2007, neutral): “This formulation has some resemblance with the absolute coordinates method of Shabana [ 44 ].”
A review of continuous contact-force models in multibody dynamics (2018, background): “A body can be considered as rigid when its deformations are small, such that they do not a ect the global motion of the body itself [44].”
Use of B-Spline in the Finite Element Analysis: Comparison With ANCF Geometry (2012, background): “In fact the simplest rigid-link chains are highly nonlinear because of the large relative rotations between the chain links (Roberson and Schwertassek, 1988; Schiehlen, 1997).”
A generalized recursive formulation for constrained flexible multibody dynamics (2001, methodology): “As a result, every joint and force modules in a exible multibody code, such as ADAMS [17] and DAMS [18], have been developed separately for rigid and exible bodies.”
Simulation process of flexible multibody systems with non-modal model order reduction techniques (2011, methodology): “With the projection matrices V and W the standard data can be calculated as explained, e.g., in [1 ]a nd [ 2 ].”
Implicit and explicit integration in the solution of the absolute nodal coordinate differential/algebraic equations (2008, methodology): “B T M ¨ q + B T C T λ = B T Q. (59) It can be shown that [ 12 ]”
Applications of the discrete element method in mechanical engineering (2007, methodology): “Using the quaternion approach, rotations can be expressed without the need to care for singularities of Jacobian matrices as they occur if Euler or Cardan angles are used [5].”
A 3D Finite Element Method for Flexible Multibody Systems (2006, methodology): “Shabana summarized different methods for the modeling of multibody systems in his book [ 27 ].”
On the continuous contact force models for soft materials in multibody dynamics (2011, background): “The expression flexible multibody system refers to a system holding deformable bodies with internal dynamics [24].”