Role of spectrally varying mount properties in influencing coupling between powertrain motions under torque excitation

Park, Jae-Yeol; Singh, Rajendra

doi:10.1016/j.jsv.2010.01.031

Cited by 19 publications

(15 citation statements)

References 19 publications

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“…The decoupling is achieved by satisfying the vertical axis decoupling condition. These responses correspond to the numerical results (direct inversion method (Park and Singh, 2010)) and experimental results. However, some discrepancies in the magnitudes are seen.…”

Section: Verification Of the Proposed Methodssupporting

confidence: 75%

“…The problem with spectrally-varying mount properties requires a new analytical framework. To overcome this void in the literature, Park and Singh (2009, 2010) investigated the complex eigensolutions and frequency responses of the powertrain system with passive and active mounts in the presence of rigid base, and proposed a special TRA decoupling condition for such problems and achieved a complete decoupling between roll and other rigid body motions. However, their method is only valid for a special class of problems (in the focalized mounting scheme by placing the mounts with k(ω) and c(ω) in the vertical direction and located at the same height as the center of gravity of powertrain), and their approximation cannot be extended to a more general spectrally-varying vibrating system.…”

Section: Introductionmentioning

confidence: 99%

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Refined response axis decoupling axiom for a coupled vibrating system with spectrally-varying mount properties

Zhu

Chen

et al. 2017

Journal of Vibration and Control

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Real-life engine mounts inherently exhibit considerable frequency- and amplitude-dependent characteristics, and the base flexibility has a significant effect on engine vibration and forces transmitted to the vehicle body. A new analytical formulation is proposed that incorporates spectrally-varying stiffness and damping properties of multi-dimensional mounts in the presence of a compliant base (with many vibration modes over the applicable lower frequency regime). A refined analytical axiom for the response axis decoupling of coupled system is also mathematically formulated using spectral response axis decoupling indices. Two examples are chosen to prove the refined axiom. Firstly, a powertrain mounting system with two hydraulic mounts is redesigned in terms of their stiffness and damping properties, and mount locations for both powertrain and sub-frame systems used the refined axiom in torque roll axis (TRA) direction. Frequency and time domain results demonstrate that the TRA of the redesigned powertrain mounting system is indeed decoupled from other powertrain motions. The effects of parameter uncertainties on the response axis decoupling indices are also examined. Then, a laboratory experiment consisting of a powertrain, three powertrain mounts including two hydraulic mounts, a sub-frame, and four bushings is then used to mathematically validate the refined axiom in vertical axis direction. The quasi-linear system formulation of the coupled system is also verified by comparing the frequency responses with the results obtained by the direct (matrix) inversion method and measurements.

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Section: Verification Of the Proposed Methodssupporting

confidence: 75%

Section: Introductionmentioning

confidence: 99%

Refined response axis decoupling axiom for a coupled vibrating system with spectrally-varying mount properties

Zhu

Chen

et al. 2017

Journal of Vibration and Control

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“…The theory of energy decoupling is used by Yonghou and Guocai [26] to optimize the powertrain mount system by choosing the objective function as the maximization of the decoupling rate. Finally, torque roll axis decoupling and optimization methods were considered in various studies [27][28][29][30] to determine the best position of powertrain mounts for various operating conditions. Liette et al [31] proved that the decoupling of the torque roll axis is not viable for powertrain applications and examined alternative isolation systems.…”

Section: Introductionmentioning

confidence: 99%

Design sensitivity and optimization of powertrain mount system design parameters for rigid body modes and kinetic energy distributions

Şendur

Tunç

2020

J Braz. Soc. Mech. Sci. Eng.

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This study evaluates the influences of the powertrain mount design parameters on the frequencies of powertrain rigid body modes and their kinetic energy distributions (KEDs), which play an important role in the low-frequency vibration of vehicles. A total of 12 design parameters (x, y, z position of mount locations and translational stiffness of the front and rear powertrain mounts) were evaluated in terms of their contributions to the aforementioned metrics. A multi-body dynamics simulation model was used in a 512-run modal analysis by varying the design variables across their common range, and the results were used in design sensitivity analysis. Response surface models for the frequencies of each powertrain rigid body mode and their KEDs were derived and subsequently used in optimization studies. It was shown that front and rear powertrain mount stiffness in y-direction has a strong influence on the frequency of powertrain lateral mode (21.5% and 24.5%, respectively). Front mount location in the x-direction demonstrates a strong influence on the pitch mode (25.7%), while the rear mount stiffness in the z-direction is the most influential on frequency of powertrain vertical mode with 29.1%. The location of the rear powertrain mount in the z-direction has a significant effect on the KED of fore-aft mode with 37.8% sensitivity. NSGA-II genetic algorithm with 100 generations was used for optimization to meet a set of design targets compiled from the literature. For the placement of the frequencies of powertrain rigid body modes with desired KED, design sensitivities, which are derived from a system-level approach, give important design direction to address the complex interactions between powertrain mount locations and stiffness and key metrics of the powertrain mount systems. Knowledge of design sensitivity of design parameters is important in the vehicle design cycle for OEMs to prioritize their design decisions. Finally, the optimization methodology is key to tune the design parameters to meet the conflicting design targets more efficiently.

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“…In 2008 and 2012, Hu and Park separately made great improvement on Jeong and Singh's work by taking non-proportional damping and compliant base into consideration and made the model of NVH more authentic. [5][6][7] Wu and Liu discussed the effect of damping and compliant base by analyzing and comparing three typical models, 8 and the decoupling condition illustrates that the TRA decoupling method is effective for all these models. These studies, which are based on Geck and Patton's early research on engine mount optimization, 9 have illustrated that the TRA decoupling method can obtain a more thorough decoupling state and even a theoretical complete decoupling for an EMS.…”

Section: Introductionmentioning

confidence: 99%

Robustness optimization of engine mounting system based on Six Sigma and torque roll axis decoupling method

Liu

Shan

et al. 2018

Proceedings of the Institution of Mechanical Engineers, Part D:

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Robustness optimization to enhance the reliability of an engine mounting system (EMS) is necessary in the decoupling design of the EMS, because the stochastic factors or uncertainties will have a significant influence on the decoupling state of the system and decrease the reliability of the system. This paper carries out the robustness optimization on the decoupling design based on torque roll axis decoupling theory. After building the dynamic model of the EMS, the constraints and objective functions of the optimization are improved by the principle of Six Sigma. A complete process of robustness is built and the examples for three different types of EMS are calculated and analyzed. The results show that the quality levels have been enhanced by the robustness optimization, which means the design of EMS is more reliable than deterministic design. Although the degree of the decoupling state lowers slightly, by taking all the performance of the system into consideration, the decrease of decoupling is acceptable and the robustness design is valuable in the real engineering.

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Role of spectrally varying mount properties in influencing coupling between powertrain motions under torque excitation

Cited by 19 publications

References 19 publications

Refined response axis decoupling axiom for a coupled vibrating system with spectrally-varying mount properties

Refined response axis decoupling axiom for a coupled vibrating system with spectrally-varying mount properties

Design sensitivity and optimization of powertrain mount system design parameters for rigid body modes and kinetic energy distributions

Robustness optimization of engine mounting system based on Six Sigma and torque roll axis decoupling method

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