Constraint Stabilization for Time-stepping Approaches for Rigid Multibody Dynamics with Joints, Contact, and Friction

نویسندگان

  • Mihai Anitescu
  • Andrew Miller
  • Gary D. Hart
چکیده

We present a method for achieving geometrical constraint stabilization for a linear-complementarity-based time-stepping scheme for rigid multibody dynamics with joints, contact, and friction. The method requires the solution of only one linear complementarity problem per step. The method depends on an adjustable parameter γ, but the constraint stabilization effect is shown to hold for any γ ∈ (0,1]. Several examples are used to demonstrate the constraint stabilization effect.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Constraint-Stabilized Time-Stepping Approach for Rigid Multibody Dynamics with Joints, Contact and Friction

We present a method for achieving geometrical constraint stabilization for a linear-complementaritybased time-stepping scheme for rigid multibody dynamics with joints, contact, and friction. The method requires the solution of only one linear complementarity problem per step. We prove that the velocity stays bounded and that the constraint infeasibility is uniformly bounded in terms of the size...

متن کامل

A fixed time-step approach for multibody dynamics with contact and friction

We present a fixed time-step algorithm for the simulation of multi-rigid-body dynamics with joints, contact, collision, and friction. The method solves a linear complementarity problem (LCP) at each step. We show that the algorithm can be obtained as the stiff limit of fixed time-step schemes applied to regularized contact models. We do not perform collision detection. Instead, a noninterpenetr...

متن کامل

Modeling and Analysis of Rigid Multibody Systems with Translational Clearance Joints Based on the Nonsmooth Dynamics Approach

The main purpose of this paper is to discuss a method for a dynamic modeling and analysis of multibody systems with translational clearance joints. The method is based on the nonsmooth dynamics approach, in which the interaction of the elements that constitute a translational clearance joint is modeled with multiple frictional unilateral constraints. In the following, the most fundamental issue...

متن کامل

A time - stepping method for sti multibody dynamics with contact and friction ‡

We de ne a time-stepping procedure to integrate the equations of motion of sti multibody dynamics with contact and friction. The friction and non-interpenetration constraints are modelled by complementarity equations. Sti ness is accommodated by a technique motivated by a linearly implicit Euler method. We show that the main subproblem, a linear complementarity problem, is consistent for a su c...

متن کامل

A time - stepping method for sti + multibody dynamics with contact and friction ‡ 3

We de8ne a time-stepping procedure to integrate the equations of motion of sti+ multibody dynamics with contact and friction. The friction and non-interpenetration constraints are modelled by complemen9 tarity equations. Sti+ness is accommodated by a technique motivated by a linearly implicit Euler method. We show that the main subproblem, a linear complementarity problem, is consistent for a s...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2003