Abstract
This report treats the design procedures for the crank-angle arrangements and firing sequences for multicylinder reciprocating engines. The authors developed the most powerful design method of finding uneven crankangle arrangements for four and two stroke cycle reciprocating engines of multi-cylinders. The study reveals how the various kinds of engine-exciting forces and/or moments are simply expressed and how the procedure contributes toward the vibration reduction of multi-cylinder engines.
In order to build the design procedure, a new type of optimization algorithm is introduced: a method in which the feasible domain due to the constraint conditions is clarified. In other words, the idea of “modified cyclotomic polynomial (MCP) ” analysis is contrived. This report points out that the introduced concept is significant not only for the reciprocating engine design but also for general engineering and science. Actually new and effective crank-angle arrangements have been looked for. This paper also establishes new ways in solving non-linear optimization problems with non-linear constraint conditions.
