Modal Analysis of a Gearbox Housing in Order to Avoid Resonance …
349
appear in the real system. A possible explanation for this phenomenon might be that
some modes are substantially damped and thus, the amplitudes are not amplified at
these modes.
6 Conclusion
In this study, the natural frequencies of a gear housing are determined by the Experimental Modal Analysis. The experimental results are compared with those obtained
by using finite element analysis, performed by two different software programs, as
seen in Table 2. Thus, it can be observed that the experimental results are close to
the results obtained by FEA, some frequency mode maps being presented in Fig. 4.
Additionally, the Campbell diagram was employed to detect the occurrence of critical
speeds, which have to be avoided to prevent resonance.
As further research, the influence of the material type and the size of different
geometrical elements of the housing on its natural frequencies are proposed to be
analyzed.
References
1. V. Cojocaru, Z.I. Korka, C.O. Miclosina, Influence of the mesh parameters on stresses and
strains in FEM analysis of a gear housing. Ann. “Eftimie Murgu” Univ. Resita XX(2), 47–52
(2013)
2. V. Cojocaru, Z.I. Korka, C.O. Miclosina, Stress analysis and optimal design of the housing of
a two-stage gear reducer. Appl. Mech. Mater. 658, 183–188 (2014)
3. Z. Jianxing, W. Sun, Q. Tao, Gearbox low-noise design method based on panel acoustic
contribution, Math. Probl. Eng. 850549, 10 (2014)
4. J.P. Wang, G. Chang, G. Liu, Effects of rib arrangements on radiated noise of gearboxes, in
Proceedings of the International Gear Conference 2014, Lyon, 26–28 August (2014), pp. 190–
199
5. A.K. Nandy, C.S. Jog, Optimization of vibrating structures to reduce radiated noise. Struc.
Multi. Optim. 45(5), 717–728 (2012)
6. E. Tanaka, H. Houjou, D. Motoh, Vibration and sound-radiation analysis for designing a lownoise gearbox with a multi-stage helical gear system. JSME Int J. Ser. C 46(3), 1178–1185
(2003)
7. W. Yang, X.L. Tang, Modelling and modal analysis of a hoist equipped with two-stage planetary
gear transmission system. Proc. Inst. Mech. Eng. Part K-J. Multi-Body Dyn. 231(4), 739–749
(2017)
8. P.X. Yi, P. Huang, T.L. Shi, Numerical analysis and experimental investigation of modal
properties for the gearbox in wind turbine. Front. Mech. Eng. 11(7), 388–402 (2016)
9. P.G. Catera, F. Gagliardi, D. Mundo, L. De Napoli, A. Mateeva, L. Farkas, Multi-scale modeling
of triaxial braided composites for FE-based modal analysis of hybrid metal-composite gears.
Compos. Struct. 182, 116–123 (2017)
10. M. Tufoi, G.R. Gillich, Z.I. Praisach, Z.I. Korka, Modal analysis of a butterfly valve with
different stiffening elements. Rom. J. Acoust. Vibr. 13(1), 11–15 (2016)
349
appear in the real system. A possible explanation for this phenomenon might be that
some modes are substantially damped and thus, the amplitudes are not amplified at
these modes.
6 Conclusion
In this study, the natural frequencies of a gear housing are determined by the Experimental Modal Analysis. The experimental results are compared with those obtained
by using finite element analysis, performed by two different software programs, as
seen in Table 2. Thus, it can be observed that the experimental results are close to
the results obtained by FEA, some frequency mode maps being presented in Fig. 4.
Additionally, the Campbell diagram was employed to detect the occurrence of critical
speeds, which have to be avoided to prevent resonance.
As further research, the influence of the material type and the size of different
geometrical elements of the housing on its natural frequencies are proposed to be
analyzed.
References
1. V. Cojocaru, Z.I. Korka, C.O. Miclosina, Influence of the mesh parameters on stresses and
strains in FEM analysis of a gear housing. Ann. “Eftimie Murgu” Univ. Resita XX(2), 47–52
(2013)
2. V. Cojocaru, Z.I. Korka, C.O. Miclosina, Stress analysis and optimal design of the housing of
a two-stage gear reducer. Appl. Mech. Mater. 658, 183–188 (2014)
3. Z. Jianxing, W. Sun, Q. Tao, Gearbox low-noise design method based on panel acoustic
contribution, Math. Probl. Eng. 850549, 10 (2014)
4. J.P. Wang, G. Chang, G. Liu, Effects of rib arrangements on radiated noise of gearboxes, in
Proceedings of the International Gear Conference 2014, Lyon, 26–28 August (2014), pp. 190–
199
5. A.K. Nandy, C.S. Jog, Optimization of vibrating structures to reduce radiated noise. Struc.
Multi. Optim. 45(5), 717–728 (2012)
6. E. Tanaka, H. Houjou, D. Motoh, Vibration and sound-radiation analysis for designing a lownoise gearbox with a multi-stage helical gear system. JSME Int J. Ser. C 46(3), 1178–1185
(2003)
7. W. Yang, X.L. Tang, Modelling and modal analysis of a hoist equipped with two-stage planetary
gear transmission system. Proc. Inst. Mech. Eng. Part K-J. Multi-Body Dyn. 231(4), 739–749
(2017)
8. P.X. Yi, P. Huang, T.L. Shi, Numerical analysis and experimental investigation of modal
properties for the gearbox in wind turbine. Front. Mech. Eng. 11(7), 388–402 (2016)
9. P.G. Catera, F. Gagliardi, D. Mundo, L. De Napoli, A. Mateeva, L. Farkas, Multi-scale modeling
of triaxial braided composites for FE-based modal analysis of hybrid metal-composite gears.
Compos. Struct. 182, 116–123 (2017)
10. M. Tufoi, G.R. Gillich, Z.I. Praisach, Z.I. Korka, Modal analysis of a butterfly valve with
different stiffening elements. Rom. J. Acoust. Vibr. 13(1), 11–15 (2016)