Parametric study of modal properties of damped two-degree-of-freedom crowd–structure dynamic systems

2004 ◽  
Vol 274 (3-5) ◽  
pp. 461-480 ◽  
Author(s):  
R. Sachse ◽  
A. Pavic ◽  
P. Reynolds
1980 ◽  
Vol 102 (4) ◽  
pp. 835-841 ◽  
Author(s):  
M. S. Hundal

The paper presents the use of dimensional analysis as an aid in the design of dynamic systems. Basic theory of dimensional analysis is discussed. Two examples are given: (1) a two degree of freedom vibrating system and (2) a flexible rotor which is flexibly supported at its ends. Choice of suitable non-dimensional parameters is discussed. A digitial computer program is described which generates all of the possible sets of non-dimensional parameters for a given problem.


2007 ◽  
Vol 14 (4) ◽  
pp. 261-270 ◽  
Author(s):  
Jackie Sim ◽  
Anthony Blakeborough ◽  
Martin Williams

For human assembly structures in which the mass of the crowd is significant compared to that of the structure, it is necessary to model the passive crowd as a dynamic system added to the main structural system. Earlier work by the authors has analysed the frequency response of a joint crowd-structure system in which the structure is treated as a single degree-of-freedom (SDOF) system and the seated and standing crowds are each modelled as a two degree-of-freedom (2DOF) system. It was found that the occupied structure has dynamic properties different to the empty structure. This paper investigates representing the joint crowd-structure system as an equivalent reduced-DOF system that would have the advantage of simplifying the analysis. The modal properties of the equivalent reduced-DOF system, if known, can give a useful indication of how the passive crowd affects the modal properties of the occupied structure. Two equivalent reduced-DOF systems are investigated – SDOF and 3DOF systems. The errors between the responses of the equivalent systems and the full model are calculated and presented in the paper. The results show that the full model exhibits the behaviour of a SDOF system for structures with natural frequencies less than 4 Hz (when empty), whereas for structures with natural frequencies above 4 Hz the equivalent 3DOF system gives a better fit to the full model.


Author(s):  
Tao Xu ◽  
Gerard G. Lowen

Abstract An experimental verification of a new linearized two-degree of freedom model of a press feed mechanism, which is presented in a companion paper (Xu and Lowen, 1994), is given. An associated parametric study shows insights pertaining to the relationship between the system and component frequencies and allows the formulation of certain design rules regarding the magnitudes of the coupler and clutch windup angle deflections.


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