GENERAL LAWS GOVERNING IN MECHANICAL VIBRATORY SYSTEMS

N. A. Dokukovaa and P. N. Kononb 

UDC 539.0

A method is proposed for investigating complex dynamic 
mechanisms with the use of a sequence of differential operators, which 
allows one to by pass cumbersome mathematical calculations, transform 
the system of three coupled differential equations of the second order 
into system of three independent linear inhomogeneous differential 
equations of the sixth order with constant coefficients, and represent 
the laws of influence of the physical parameters of a mechanical system 
on its dynamic properties in a simple analytical form. The indicated 
method can be used for investigating the vibrations of passive vibration 
dampers as well as their vibration resistance and quality and can 
be extended to other linear and linearized mechanical vibratory systems 
of higher orders.

aInstitute of Mechanics and Reliability 
of Machines, National Academy of Sciences of Belarus, 12 Akademicheskaya 
Str., Minsk, 220072, Belarus; email: root@ncpmm.bas-net.by; 
bBelarusian State University, 4 Nezavisimost' Ave., Minsk, 
220050, Belarus. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 
79, No. 4, pp. 186-193, July-August, 2006. Original article 
submitted July 14, 2005; revision submitted September 15, 2005.