Numerical Algorithms for Simulation of One-Dimensional Mechanical Systems With Clearance-Type Nonlinearities

In many mechanical systems there are nonlinearities of clearance type. This type of nonlinearity often causes problems with convergence and accuracy in simulations, due to the discontinuities at impact. For systems with gap-activated springs connected to ground, it has been proposed in previous work to reformulate the problem as a linear complementary problem (LCP), which can be solved in a very efficient way. In this paper, a generalization of the LCP approach is proposed for systems with gap-activated springs connecting different bodies. The generalizations enable the LCP approach to be used for an arbitrary number of gap-activated springs connecting either different bodies or connecting bodies to ground. The springs can be activated in either compression or expansion or both and a gear ratio can be included between the bodies. The efficiency of the algorithm is demonstrated with an application example of a dual mass flywheel (DMF).

Practical Introduction to Rigid Body Linear Complementary Problem (LCP) Constraint Solvers

This chapter introduces Linear Complementary Problem (LCP) Solvers as a method for implementing real-time physics for games. This chapter explains principles and algorithms with practical examples and reasoning. When first investigating and writing a solver, one can easily become overwhelmed by the number of different methods and lack of implementation details, so this chapter will demonstrate the various methods from a practical point of view rather than a theoretical one; using code samples and real test cases to help understanding.

Modeling of Energy-Saving Optimization Model by Sub-Sheet Dryness Coordination Based on Muti-Agent

According to Multi-Agent network topology of the globe energy node in papermaking dryer section, the optimal algorithms of each part of sheet for energy consumption node Agent is designed through the mentality of designing. And multi-Agent contract net protocol is improved based on the gambling solution of mixed linear complementary problem. The overall steam saving optimization can be achieved by coordinated and local optimization and globe energy balance of each energy node for the four group of paper drying process.