The Use of Structural Symmetries of a U12 Engine in the Vibration Analysis of a Transmission

Abstract

The paper focuses on the vibration analysis of a vehicle equipped with two identical engines. Such solutions are encountered in practice when less power is needed for a vehicle for a certain period of time and then greater power the rest of the time. An example of this would be a mobile drilling rig. During transport (a relatively short period of time) only one engine operates and then, in service (most of the operating time), both engines operate. A characteristic of such an aggregate is the existence, within the transmission, of two identical engines. The existence of identical parts in mechanical systems leads to properties that allow the computations to be simplified in order to obtain suggestive and rapid results, with reduced computation effort. These properties refer to the eigenvalues and eigenmodes of vibration for these types of systems and have been stated and demonstrated in the paper. It also allows for a qualitative analysis of the behavior of the system in case of vibrations. The existence of these properties allows for easier calculation and shortening of the design time. The mechanical consequences of the existence of symmetries or identical parts have begun to be studied in more detail in the last decade (see references), and the work is part of these trends. The vibration properties of a transmission of a truck with two identical engines have been stated and proven and a real example is analyzed. Two 215 hp engines were used in the application. In order to establish a useful solution in practice, two constructive variants with a different clutch position in the transmission are analyzed in parallel.

Introduction to Special Issue on Symmetry in Mechanical Engineering

“…The monitoring method for the wear state of a tool using a convolutional bidirectional LSTM model was shown in the article [8]. The use of structural symmetries of a U12 engine using vibration analysis was presented in [9].…”

Vibration Response of a Concrete Structure with Repetitive Parts Used in Civil Engineering

“…The main idea that helps the builder and designer is that the information needed to describe such a system is reduced, which allows a reduction of the operations required for design and calculation and to facilitate both static and dynamic analysis. Particular cases of systems with different symmetries have been studied by different authors and presented in the papers [5][6][7][8][9][10].…”

Classification and Effects of Symmetry of Mechanical Structure and Its Application in Design

“…For example, increasing symmetry can effectively improve the structural accuracy of compliant mechanisms, and symmetry can also affect the static and dynamic characteristics of bending mechanisms [11]. The existence of identical parts in mechanical systems leads to symmetry that allows the computations to be simplified in order to obtain suggestive and rapid results [12]. Through the transposition of the meshing point of the gear pair, it is shown that the meshing condition of the gear pair in the forward rotation and reverse rotation can be determined by the same method, that is, taking symmetry as a method to reduce the calculation [13].…”

“…Symmetry 2021, 13, x FOR PEER REVIEW 2 of 16 mechanical systems leads to symmetry that allows the computations to be simplified in order to obtain suggestive and rapid results [12]. Through the transposition of the meshing point of the gear pair, it is shown that the meshing condition of the gear pair in the forward rotation and reverse rotation can be determined by the same method, that is, taking symmetry as a method to reduce the calculation [13].…”