Equivalence classes and optimization of vehicle swinging systems (dedikált példány) [antikvár]

mju^J^ do. EQUIVALENCE CLASSES AND OPTIMIZATION OF VEHICLE SWINGING SYSTEMS T. PÉTER Department of Transport Engineering Mathematics, Technical University, Budapest Received August 3, 1982 Presented by Prof. Dr. L. Ilosvai Introduction Vehicles will be treated as swinging systems. In this case any particular swinging system a^ can be considered as an element of the set V of all vehicle swinging systems. Let g be an equivalence relation defined on the pairs of elements of V. As it is well known, every equivalence relation generates a division of the elements of V into disjoint classes (Fig. 1). Two vehicle swinging systems, say Oj and a^ are equivalent if and only if any pair of input and output belonging to Oj belongs also to a^, and conversely (Fig. 2). 01,02.b ev 0,5 02 (01 = 02(5)) ffc Oi 5 b ( Oi »» b (5)) 1. 090 Y aev 2. ai 9 02 9 3. (Gig ojjA (Q29a3)=s.aig^ Fig. 1 JDt Si -' 92 '-' ?2 9 °2 Ai = A2 I (AIC;A2 A A2t=Ai) Fig. 2 {Q;.p,r }<=v Fig. 3