TRANSMISSION ANALYSIS - AUTOMATIC DERIVATION OF RELATIONSHIPS

A method for derivation of relationships for general mechanical transm ission systems is given. It is adapted for computer-aided analysis and synthesis of the kinematics, loads, and power flows. Losses are inclu ded. All relationships are handled by a computer program. No manual de aling with equations is necessary. The user only describes the transmi ssion systems: (1) The transmission units, e.g., gear transmissions, p lanetary gear trains, clutches and input shafts. (2) How the shafts of those units are connected. Then, the computer program formulates the relationships, and a computer algebra program performs algebraic elimi nations. Symbolic, nonnumerical, relationships between speeds and torq ues of two arbitrary shafts can be derived, e.g., the overall efficien cy. Special algorithms handle the power flows in split-power transmiss ions. The method saves time and eliminates the risk for human errors.