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Dynamic investigation of a mass systems with energy dissipation
Abstract
The author expresses a hypothesis about the resistance in SDOF mass systems, which leads to energy dissipation.
The concept of a third derivative of the movement in time (jerk) and a dimensionless quantity of it is applied. On this basis, a homogeneous differential equation of motion in free vibration was compiled and solved.
A comprehensive mathematical analysis was performed to clarify the influence of the two ratios that determine the motion of a mass system. Numerical examples show how the values of the dimensionless ratios can be determined through experimental results.
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