A Simple Method to Design and Analyze Dynamic Vibration Absorber of Pipeline Structure Using Dimensional Analysis

Table 3

List of variables and fundamental dimensions that affect the beam DVA attached to the pipeline structure.

No.	Description of variables	Symbol	Unit	Dimensions	Type of variable	Nature
1	Span				Independent	Constant
2	Length of the threaded rod				Independent	Varying
3	Mass of the beam DVA				Independent	Varying
4	Moment of inertia of the pipe				Independent	Constant
5	Moment of inertia of the threaded rod				Independent	Varying
6	Area of the pipe				Independent	Constant
7	Area of the threaded rod				Independent	Varying
8	Modulus of elasticity of the pipe				Independent	Constant
9	Modulus of elasticity of the threaded rod				Independent	Constant
10	Density of the pipe				Independent	Constant
11	Density of the threaded rod				Independent	Constant
12	Frequency of exciting force				Independent	Varying
13	Displacement at the middle of the pipe without beam DVA				Dependent	Response
14	Displacement at the middle of the pipe with beam DVA				Dependent	Response