Vibration Synthesis for Electrical Machines Based on Force Response Superposition

Efficient forced vibration reanalysis method for rotating electric machines

“…Thus, such sinusoidal functions are employed as basis functions in this paper, and hereinafter referred to as magnetic force modes. Similar approach has been adopted by Boesing et al [15]. The magnetic force modes ψ i 's are a collection of the sinusoidal functions, and they are ordered as follows: ½ψ 1 ; …; ψ p=2 ¼ ½e r ; cos ðθÞe r ; sin ðθÞe r ; cos ð2θÞe r ; sin ð2θÞe r ; …; cos ðpθ=2Þe θ ;…”

“…However, the vibration response needs to be re-computed for every operating conditions, which is computationally expensive. Boesing et al proposed an efficient vibration synthesis method based on the vibration superposition of frequency response functions for a set of force excitation shapes [15]. It is capable of computing vibration response for a wide range of operating points quickly by superposing the frequency response functions.…”

Universal Acoustic Modeling Framework for Electrical Drives

“…The CAD model used as basis for the structural model is shown in Figure 6. The machine was already used in [5] to introduce the vibration synthesis based on force response superposition. In comparison, the recent advances become apparent, which are the integration with the system simulation [4] as well as the more efficient and advanced structural dynamics modeling and vibrations synthesis.…”

“…Furthermore, analytical or measurement-based models can be used and radiated sound calculations or transfer path analyses be added. The presented modeling framework (see Figure 1 on the next page) combines a system simulation [4] and a vibration synthesis process [5]. It consists of automated offline-and userinteractive online-steps.…”

“…For these, normalized structural vibration responses (force responses) are pre-calculated in structural dynamics finite element (FE) simulations [5]. The offline electromagnetic FE simulations provide the force characteristics and parametrize the system simulation The system simulation is the first online and user-interactive step ( Figure 2).…”