• Pham Van Tho Victoria Automobile, Motorbike and Electric Vehicle JSC
  • Vu Xuan Truong Hungyen University of Technology and Education
  • Khong Doan Dien Peace University
Keywords: dynamic vibration absorber, torsional vibration, optimal design, FEM, Taguchi method


This paper presented a method to reduce the torsional vibration of a shaft system with dynamic vibration absorber (DVA). A theoretical method was introduced to determine optimal parameters of the DVA, which included spring stiffness, viscous coefficient of damper, mass moment of inertia of the absorber, number, and radial position of springs and dampers. First, system equations of motion of the shaft and the DVA were elaborated using Finite Element method (FEM) and solved by Runge-Kutta algorithm to find the torsional vibration response. Then, the Taguchi method was applied for the multivariable optimization problem. By using the Taguchi method, the DVA optimal parameters were identified with objective functions of torsional vibration duration and amplitude. Analysis of variance (ANOVA) was then carried out to evaluate the contribution percentage of each parameter on the shaft vibration response. The obtained results showed that the radial position of spring was the most influential factor on vibration of the shaft. DVA with optimized parameters remarkably reduced the torsional vibration in the system.


Den Hartog J.P (1928), The theory of the DVA, Transactions of ASME, 50, 9-22.

Den Hartog J.P (1982), Mechanical Vibrations, 4th Edition, McGraw-Hill, NY.

Brock J.E (1946), A note on the DVA, Journal of Applied Mechanics, 13(4), A-284.

Nishihara O (2002), Close form solutions to the exact optimizations of DVA, Journal of Vibration and Acoustrics, 124, 576-582.

Wilson WK (1968), Practical solution of torsional vibration problems: with examples from marine, electrical, and automobile engineering practice, Devices for controlling vibration, 3rd ed. London: Chapman and Hall, Vol 4.

Carter BC (1929), Rotating pendulum absorbers with partly solid and liquid inertia members with mechanical or fluid damping, Patent 337, British.

Taylor ET (1936), Eliminating Crankshaft Torsional Vibration in Radial Aircraft Engines, SAE paper 360105.

Sarazin RRR (1937), Means adapted to reduce the torsional oscillations of crankshafts, Patent 2079226, USA.

Madden JF (1980), Constant frequency bifilar vibration absorber, Patent 4218187, USA.

Swank M (2011), Dynamic absorbers for modern powertrains, SAE paper 2011-01-1554.

Abouobaia E (2016), Development of a new torsional vibration damper incorporating conventional centrifugal pendulum absorber and magnetorheological damper, J Intel Mat Syst Str 2016; 27: 980-992.

XT Vu et al (2017), Closed-form solutions to the optimization of dynamic vibration absorber attached to multi degree-of-freedom damped linear systems under torsional excitation using the fixed-point theory, Journal of Mutibody Dynamics, Volume: 232 issue: 2, page(s): 237-252.

Genechi Taguchi, Taguchi Method and Application, Tokyo 1980.

How to Cite
Pham Van Tho, Vu Xuan Truong, & Khong Doan Dien. (2020). STUDY ON REDUCING TORSIONAL VIBRATION USING MULTI DYNAMIC VIBRATION ABSORBER ATTACHED SHAFT OF MACHINE . UTEHY Journal of Science and Technology, 24, 1-6. Retrieved from