Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
From MaRDI portal
Publication:5438862
DOI10.1098/rspa.2007.1857zbMath1161.70006OpenAlexW2147831411WikidataQ55878424 ScholiaQ55878424MaRDI QIDQ5438862
J. P. Meijaard, Jim M. Papadopoulos, A. L. Schwab, Andy L. Ruina
Publication date: 8 February 2008
Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1098/rspa.2007.1857
Related Items (32)
A robust two-stage active disturbance rejection control for the stabilization of a riderless bicycle ⋮ Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Non-smooth dynamic modeling and simulation of an unmanned bicycle on a curved pavement ⋮ Continuous‐Action XCSR with Dynamic Reward Assignment Dedicated to Control of Black‐Box Mechanical Systems ⋮ State-of-the-art and challenges of railway and road vehicle dynamics with multibody dynamics approaches ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ Stabilization of the inverted pendulum on a skate ⋮ A practical application of the geometrical theory on fibered manifolds to an autonomous bicycle motion in mechanical system with nonholonomic constraints ⋮ Nonholonomic dynamics and control of road vehicles: moving toward automation ⋮ On the dynamics of a motorcycle weave ⋮ Linearization approaches for general multibody systems validated through stability analysis of a benchmark bicycle model ⋮ Chaos in a soda can: non-periodic rocking of upright cylinders with sensitive dependence on initial conditions ⋮ Extended constraint enforcement formulations for finite-DOF systems based on Gauss's principle of least constraint. Overcoming limitations in applications to systems with singular mass matrices ⋮ Non-holonomic constraints inducing flutter instability in structures under conservative loadings ⋮ Herglotz-type principle and first integrals for nonholonomic systems in phase space ⋮ Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane ⋮ On the nonlinear dynamics of automated vehicles -- a nonholonomic approach ⋮ A sufficient condition of Euclidean rings given by polynomial optimization over a box ⋮ Robust control design of autonomous bicycle kinematics ⋮ On the stability and control of unicycles ⋮ Stability analysis of a waveboard multibody model with toroidal wheels ⋮ Path‐Tracking Control of a Riderless Bicycle Via Road Preview and Speed Adaptation ⋮ Deflating quadratic matrix polynomials with structure preserving transformations ⋮ Hands-free circular motions of a benchmark bicycle ⋮ Reduced dynamics of the non-holonomic whipple bicycle ⋮ Validation of multibody modeling and simulation using an instrumented bicycle: from the computer to the road ⋮ Stability analysis for the Whipple bicycle dynamics ⋮ Symmetry and Relative Equilibria of a Bicycle System ⋮ A bicycle model for education in multibody dynamics and real-time interactive simulation ⋮ The tangent stiffness matrix in rigid multibody vehicle dynamics ⋮ Symbolic linearization of equations of motion of constrained multibody systems ⋮ Observer design for sensor and actuator fault estimation applied to polynomial LPV systems: a riderless bicycle study case
Uses Software
Cites Work
- Experimental validation of a model of an uncontrolled bicycle
- Dynamic analysis of planar mechanisms with rigid links
- Dynamics of flexible multibody systems with nonholonomic constraints: A finite element approach
- Symbolic vector/dyadic multibody formalism for tree-topology systems
- Direct determination of periodic solutions of the dynamical equations of flexible mechanisms and manipulators
- Bicycle dynamics and control: adapted bicycles for education and research
- Hands-free circular motions of a benchmark bicycle
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Linearized dynamics equations for the balance and steer of a bicycle: a benchmark and review
