Natural oscillations of variable cross-section construction elements of agricultural machines

Abstract

The natural frequencies of many agriculture machines (tractors equipments, mobile chassis, mechanisms, micro-dimensions agriculture techniques and other equipments) variable cross-section control equipments are investigated. These oscillations are compared with the natural frequencies of constant cross-section cylinder pipes of control equipments. A mathematical model for these oscillations is developed using the main equations of elastic theory. The differential equations for variable cross-section control equipments vibration are obtained by partial derivative. The simple and practice equations of the natural oscillations frequencies are obtain by approximate calculation method. The examples of variable cross-section different dimensions of the natural frequencies of oscillations are calculated