Effective elastic constant and effective mass of an oscillating spring: An energy approach

1987 ◽  
Vol 55 (2) ◽  
pp. 178-180 ◽  
Author(s):  
Maurice Leclerc
Keyword(s):  
Elastic Constant ◽  
Effective Mass ◽  
Energy Approach ◽  
Effective Elastic Constant

scholarly journals Experimental study of simple harmonic motion of a spring-mass system as a function of spring diameter

2013 ◽  
Vol 35 (4) ◽  
Author(s):  
C.A. Triana ◽  
F. Fajardo
Keyword(s):  
Experimental Study ◽  
Elastic Constant ◽  
Effective Mass ◽  
Theoretical Models ◽  
Angular Frequency ◽  
Oscillatory Behavior ◽  
Damping Factor ◽  
Mass System ◽  
Harmonic Motion ◽  
Simple Harmonic Motion

The simple harmonic motion of a spring-mass system generally exhibits a behavior strongly influenced by the geometric parameters of the spring. In this paper, we study the oscillatory behavior of a spring-mass system, considering the influence of varying the average spring diameter Φ on the elastic constant k, the angular frequency ω, the damping factor γ, and the dynamics of the oscillations. It was found that the elastic constant k is proportional to Φ-3, while the natural frequency ω0 is proportional to Φ- 3 / 2, and γ decreases as Φ increases. We also show the differences obtained in the value of the angular frequency ω when the springs are considered as ideal (massless), taking into account the effective mass of the spring, and considering the influence of the damping of the oscillations. This experiment provides students with the possibility of understanding the differences between theoretical models that include well-known corrections to determine the frequency of oscillations of a spring-mass system.

Study on Effective Elastic Constants of Homogenization Tube Sheet

2012 ◽  
Vol 430-432 ◽  
pp. 158-163
Author(s):  
Yi Sun ◽  
Gao Ying Kang ◽  
Ding Cui ◽  
Jing Ran Ge
Keyword(s):  
Elastic Constant ◽  
Elastic Constants ◽  
Tube Sheet ◽  
Effective Elastic Constant ◽  
Effective Elastic Constants ◽  
Numerical Result ◽  
Asme Code ◽  
Cylindrical Inclusions ◽  
The Relationship ◽  
Good Agreement

The expressions of the effective elastic constants of composite material with cylindrical inclusions are derived based on M-T method, and it can be used in discussing the approximate range of effective elastic constant of air. Moreover, it is possible to homogenize tube-sheet by making use of the expression. The numerical result obtained is in good agreement with effective elastic constant adopted by the ASME code. It demonstrates that the approach is effective and accurate. At the last, the relationship between effective elastic and thickness of the tube-sheet is discussed.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

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