Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots
From MaRDI portal
Publication:2108701
DOI10.1016/j.cnsns.2022.106943OpenAlexW4306180723MaRDI QIDQ2108701
Ningze Wei, Lei Yan, Huafeng Lu, Jin Li, Guangrong Chen
Publication date: 20 December 2022
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106943
Mathieu equationperturbation methodaxial forcetangential forcelegged locomotionspring-loaded inverted pendulum
General perturbation schemes for nonlinear problems in mechanics (70K60) Biomechanics (92C10) Robot dynamics and control of rigid bodies (70E60)
Cites Work
- Spring-mass running: simple approximate solution and application to gait stability
- Periodic analytic approximate solutions for the Mathieu equation
- Approximating the stance of a 2-DOF monoped runner
- Asymptotic solution of a boundary value problem for a spring-mass model of legged locomotion
- Eigenvalue problems and their perturbations for the weighted \((p,q)\)-Laplacian
- Solitons in birefringent fibers for CGL equation with Hamiltonian perturbations and Kerr law nonlinearity using modified extended direct algebraic method
- Analytical approximations to primary resonance response of harmonically forced oscillators with strongly general nonlinearity
- Solution and asymptotic analysis of a boundary value problem in the spring-mass model of running
- Finite-time stabilization of periodic orbits for under-actuated biped walking with hybrid zero dynamics
- A novel analytic approximation method with a convergence acceleration parameter for solving nonlinear problems
- Dynamic stability of bio-inspired biped robots for lateral jumping in rugged terrain
- Legged robots
- A Simply Stabilized Running Model
This page was built for publication: Perturbation-based approximate analytic solutions to an articulated SLIP model for legged robots