FEASIBILTY ANALYSIS OF WALKING OF PASSIVE DYNAMIC BIPED ROBOT

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2015, Vol 10, Issue 3

Abstract

  Passive dynamic walking is an essential development for the biped robots. So the focus of our work is a systematic analysis of the passive walk of a planar biped robot on an inclined slope. The dynamics of passive biped robot is only caused of gravity. The biped robot with two point masses at kneeless legs and a third point mass at the hip-joint is kinematically equivalent to a double pendulum. In this paper, we represent a general method for developing the equations of motion and impact equations for the study of multi-body systems, as in bipedal models. The solution of this system depends on the initial conditions. But it is difficult to find the proper initial conditions for which the system has solutions, in other words, the initial conditions for which the robot can walk. In this paper, we describe the cell mapping method which able to compute the feasible initial conditions for which the biped robot can move forward on the inclined ramp. The results of this method described the region of feasible initial conditions is small and bounded. Moreover, the results of cell mapping method give the fixed of Poincare map which explains the symmetric gait cycle of the robot and describe the orientation of legs of robot.

Authors and Affiliations

Nita H. Shah, Mahesh Yeolekar

Keywords

Related Articles

AN EXTENSION OF SOME RESULTS DUE TO JARDEN

This paper defines some generalized Fibonacci and Lucas sequences which satisfy arbitrary order linear recurrence relations and which answer a problem posed by Jarden in 1966 about generalizing an elegant result for a co...

Moments of order statistics from nonidentically Distributed Lomax, exponential Lomax and exponential Pareto Variables

In this paper, the probability density function and the cumulative distribution function of the rth order statistic arising from independent nonidentically distributed (INID) Lomax, exponential Lomax and exponential Pare...

A New Technique to Solve the Instant Insanity Problem

Instant Insanity [1] consists of four cubes, each of whose six faces are colored with one of the four colors: red, blue, white, and green. The object is to stack the cubes in such a way that each of the four co...

Strongly Rickart Modules

In this paper we introduce and study the concept of strongly Rickart modules and strongly CS-Rickart modules as a stronger than of  Rickart modules [8] and CS-Rickart modules[3] respectively. A module M is said to b...

Derivation of Yang -Mills equations from Maxwell Equations and Exact solutions

In this paper we derived the Yang-Mills equations from Maxwell equations. Consequent-ly we find a new form for self-duality equations. In addition exact solution class of the classical SU(2) Yang-Mills field equations in...

Download PDF file
  • EP ID EP651481
  • DOI 10.24297/jam.v10i3.1547
  • Views 141
  • Downloads 0

How To Cite

Nita H. Shah, Mahesh Yeolekar (2015). FEASIBILTY ANALYSIS OF WALKING OF PASSIVE DYNAMIC BIPED ROBOT. JOURNAL OF ADVANCES IN MATHEMATICS, 10(3), 3319-3325. https://europub.co.uk/articles/-A-651481