Abstract
A new method to process the vibration signal acquired by an accelerometer placed in a planetary gearbox housing is proposed, which is useful to detect potential faults. The method is based on the phenomenological model and consists of the projection of the healthy vibration signals onto an orthonormal basis. Low pass components representation and Gram–Schmidt’s method are conveniently used to obtain such a basis. Thus, the measured signals can be represented by a set of scalars that provide information on the gear state. If these scalars are within a predefined range, then the gear can be diagnosed as correct; in the opposite case, it will require further evaluation. The method is validated using measured vibration signals obtained from a laboratory test bench.
Highlights
Sensors 2022, 22, 366. https://Planetary gear (PG) transmissions are widely used as mechanical elements in the automotive industry [1], aeronautics [2], wind power generation [3], etc
Researchers have worked on the definition of numerical indicators using, generally, experimental vibration signals obtained from PG-scale models
The phenomenological model (PM) [19,20] defines the vibration signal in a PG as the sum of the vibrations produced by the planet–sun and planet–ring gear meshing processes, modelled as periodic signals with a period equal to the gear mesh period
Summary
Planetary gear (PG) transmissions are widely used as mechanical elements in the automotive industry [1], aeronautics [2], wind power generation [3], etc. FEM method is based on dividing a solid into a set of finite elements and defining algebraic tive understanding of the characteristics of the vibration signal spectru equations for each element. This way, once the boundary conditions, initial conditions and loads are defined, theseprocessing algebraic equations gives based an approximation the In this paper,solving a new method on the tophenomen partial differential equations over the entire surface. The phenomenological model obtains the vibrationThus, signals the through simpler algebraic equations based on empirical observations an intuitive understanding of a pre as a linear combination of the basis. When the gear system is in good condition, the sensor will detect a particular and well-defined signal shape, which will be modified when a fault begins to manifest
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