Three single degree of freedom systems with linear damping

1995 ◽  
Vol 22 (3) ◽  
pp. 233-237 ◽  
Author(s):  
E.V. Wilms
Keyword(s):  
Degree Of Freedom ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Linear Damping

On the Motion of Lineal Bodies Subject to Linear Damping

1997 ◽  
Vol 64 (1) ◽  
pp. 227-229 ◽  
Author(s):  
M. F. Beatty
Keyword(s):  
Differential Equation ◽  
Dynamical Systems ◽  
Rigid Body ◽  
General Class ◽  
Plane Motion ◽  
Rigid Bodies ◽  
Degree Of Freedom ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Linear Damping

Wilms (1995) has considered the plane motion of three lineal rigid bodies subject to linear damping over their length. He shows that these plane single-degree-of-freedom systems are governed by precisely the same fundamental differential equation. It is not unusual that several dynamical systems may be formally characterized by the same differential equation, but the universal differential equation for these systems is unusual because it is exactly the same equation for the three very different systems. It is shown here that these problems belong to a more general class of problems for which the differential equation is exactly the same for every lineal rigid body regardless of its geometry.

A Mechanical Analyzer for the Solution of Vibration Problems of a Single Degree of Freedom

1948 ◽  
Vol 15 (2) ◽  
pp. 146-150
Author(s):  
E. E. Weibel ◽  
N. M. Cokyucel ◽  
R. E. Blau
Keyword(s):  
Generalized Solution ◽  
Nonlinear Damping ◽  
Degree Of Freedom ◽  
Simple Construction ◽  
Dimensionless Form ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Constant Magnitude ◽  
Linear Damping ◽  
Vibration Problems

Abstract A mechanical-analogy-type analyzer is described which is of relatively simple construction being limited to single-degree-of-freedom problems. Whithin this limitation solutions may be obtained for systems which include various types of nonlinear elasticity and of nonlinear damping. Included is a generalized solution obtained on the analyzer giving in dimensionless form the maximum displacements and forces in a system having nonlinear (linear plus cubic) elasticity and linear damping caused by a force pulse of constant magnitude and finite duration. The bearing of the results on the starting torques in nonlinear systems is indicated.

Vibration Energy Harvesting System With Mechanical Motion Rectifier

2015 ◽  
Author(s):  
Changwei Liang ◽  
You Wu ◽  
Lei Zuo
Keyword(s):  
Energy Harvesting ◽  
Output Power ◽  
Excitation Frequency ◽  
Degree Of Freedom ◽  
Mechanical Motion ◽  
Single Degree Of Freedom ◽  
Single Degree ◽  
Force And Motion ◽  
Energy Harvesting System ◽  
Linear Damping

Mechanical motion rectifier (MMR) has been used as power takeoff system to harvest energy for different applications. The dynamics of single degree of freedom energy harvesting system with MMR is piecewise linear due to the engagement and disengagement of one-way clutches. The energy harvesting performance of single degree of freedom system with MMR under force and motion excitation are studied and compared with ideal linear damping and non-MMR system in this paper. Under harmonic force and motion excitation, the optimal excitation frequency and output power of MMR system is less sensitive to the power takeoff inertia compared with non-MMR system. Furthermore, the output power of MMR system under harmonic motion excitation is larger than non-MMR system. The performance index of MMR, non-MMR and linear damping systems are compared under random excitation. It is found that MMR system has a better performance over both non-MMR and linear damping system, which makes it a better choice for energy harvesting.

Sign in / Sign up

Export Citation Format

Share Document