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Symbolic linearization of equations of motion of constrained multibody systems

https://doi.org/10.1007/s11044-014-9436-5
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/zamm.19950750304openalex-snapshot
Dynamics of Nonholonomic Systems
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The dynamies of rolling disks and sliding disks
inferredcites →https://doi.org/10.1007/bf02128236openalex-snapshot
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory
inferredcites →https://doi.org/10.1007/bf02128237openalex-snapshot
Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application
inferredcites →https://doi.org/10.1016/0094-114x(86)90059-5openalex-snapshot
Dynamics: Theory and applications
inferredcites →https://doi.org/10.1016/b978-0-12-408067-6.00033-4openalex-snapshot
Part 1. Theory
inferredcites →https://doi.org/10.1016/s0021-8928(01)00020-xopenalex-snapshot
The steady rolling of a disc on a rough plane
inferredcites →https://doi.org/10.1016/s0096-3003(99)00292-1openalex-snapshot
An efficient and stable approach for computation of Lyapunov characteristic exponents of continuous dynamical systems
inferredcites →https://doi.org/10.1023/a:1024575707338openalex-snapshot
Dynamics of Flexible Multibody Systems with Non-Holonomic Constraints: A Finite Element Approach
inferredcites →https://doi.org/10.1080/00423110903248702openalex-snapshot
Automatic generation of the non-holonomic equations of motion for vehicle stability analysis
inferredcites →https://doi.org/10.1090/mmono/033openalex-snapshot
Dynamics of Nonholonomic Systems
inferredcites →https://doi.org/10.1098/rspa.1992.0005openalex-snapshot
A geometrical interpretation of Kane’s Equations
inferredcites →https://doi.org/10.1098/rspa.2007.1857openalex-snapshot
Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
inferredcites →https://doi.org/10.1109/tsmc.1984.6313309openalex-snapshot
Linearization and sensitivity functions of dynamic robot models
inferredcites →https://doi.org/10.1115/1.1541631openalex-snapshot
Force Equilibrium Approach for Linearization of Constrained Mechanical System Dynamics
inferredcites →https://doi.org/10.1115/1.2198876openalex-snapshot
A Practical Approach for the Linearization of the Constrained Multibody Dynamics Equations
inferredcites →https://doi.org/10.1177/027836499601500507openalex-snapshot
Motion Variables Leading to Efficient Equations of Motion

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.4593016openalex-extracted
The Dependent Coordinates in the Linearization of Constrained Multibody Systems: Handling and Elimination
inferred← citeshttps://doi.org/10.1002/msd2.12048openalex-snapshot
Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method
inferred← citeshttps://doi.org/10.1007/978-3-031-56492-5_3openalex-snapshot
Analysis of the Influence of Tyre Cross-Sectional Parameters on the Stability of a Nonlinear Bicycle Model with Elliptic Toroidal Wheels
inferred← citeshttps://doi.org/10.1007/s00419-018-1376-8openalex-snapshot
Symbolic linearization and vibration analysis of constrained multibody systems
inferred← citeshttps://doi.org/10.1007/s10409-019-00914-6openalex-snapshot
Bicycle dynamics and its circular solution on a revolution surface
inferred← citeshttps://doi.org/10.1007/s10409-024-24695-xopenalex-snapshot
Bicycle dynamic modeling and stability analysis with a toroidal-shaped tire geometry
inferred← citeshttps://doi.org/10.1007/s10483-016-2119-8openalex-snapshot
Projected Runge-Kutta methods for constrained Hamiltonian systems
inferred← citeshttps://doi.org/10.1007/s11044-019-09707-yopenalex-snapshot
Stability analysis for the Whipple bicycle dynamics
inferred← citeshttps://doi.org/10.1007/s11044-020-09735-zopenalex-snapshot
State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches
inferred← citeshttps://doi.org/10.1007/s11071-019-05191-3openalex-snapshot
Theoretical modeling and numerical solution methods for flexible multibody system dynamics
inferred← citeshttps://doi.org/10.1007/s11071-021-06950-xopenalex-snapshot
Symmetry and relative equilibria of a bicycle system moving on a surface of revolution
inferred← citeshttps://doi.org/10.1007/s11071-023-08345-6openalex-snapshot
An efficient and accurate linearization approach for hydraulically actuated multibody systems with holonomic and nonholonomic constraints
inferred← citeshttps://doi.org/10.1007/s11431-023-2462-9openalex-snapshot
New method for multibody dynamics based on unknown constraint force
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109036openalex-snapshot
The dependent coordinates in the linearization of constrained multibody systems: Handling and elimination
inferred← citeshttps://doi.org/10.1016/j.jobe.2025.114252openalex-snapshot
Mechanical properties of 3D printed concrete irregular structural formwork: Experimental study and finite element analysis
inferred← citeshttps://doi.org/10.1017/s0263574719001899openalex-snapshot
Comparison of Kane’s and Lagrange’s Methods in Analysis of Constrained Dynamical Systems
inferred← citeshttps://doi.org/10.1115/1.4035410openalex-snapshot
Assessment of Linearization Approaches for Multibody Dynamics Formulations
inferred← citeshttps://doi.org/10.1115/1.4053507openalex-snapshot
A Reduced and Linearized High Fidelity Waveboard Multibody Model for Stability Analysis
inferred← citeshttps://doi.org/10.20537/nd210403openalex-snapshot
Symmetry and Relative Equilibria of a Bicycle System
inferred← citeshttps://doi.org/10.30819/5578openalex-snapshot
Analysis and Optimisation of a New Differential Steering Concept
inferred← citeshttps://doi.org/10.3390/app11031136openalex-snapshot
A Nonlinear CFD/Multibody Incremental-Dynamic Model for A Constrained Mechanism
inferred← citeshttps://doi.org/10.48081/ekiw3862openalex-snapshot
inferred← citeshttps://doi.org/10.7287/peerj-cs.103v0.1/reviews/1openalex-snapshot
Peer Review #1 of "SymPy: symbolic computing in Python (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.103v0.1/reviews/2openalex-snapshot
Peer Review #2 of "SymPy: symbolic computing in Python (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.103v0.1/reviews/3openalex-snapshot
Peer Review #3 of "SymPy: symbolic computing in Python (v0.1)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.103v0.2/reviews/1openalex-snapshot
Peer Review #1 of "SymPy: symbolic computing in Python (v0.2)"
inferred← citeshttps://doi.org/10.7287/peerj-cs.103v0.2/reviews/2openalex-snapshot
Peer Review #2 of "SymPy: symbolic computing in Python (v0.2)"
inferred← citeshttps://doi.org/10.7717/peerj-cs.103openalex-snapshot
SymPy: symbolic computing in Python
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.