Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb-Damped Tensioner

1996 ◽  
Vol 118 (2) ◽  
pp. 306-311 ◽  
Author(s):  
T. C. Kraver ◽  
G. W. Fan ◽  
J. J. Shah
Keyword(s):  
Complex Model ◽  
Pulley System ◽  
Coulomb Damping ◽  
Future Extension ◽  
Analytical Development ◽  
Complex Modal Analysis ◽  
Vibration Coupling ◽  
Modal Solution ◽  
Belt System ◽  
Complex Modal

The effects of damping on rotational vibratory solutions of a multiple pulley—flat viscoelastomeric belt system with rotary arm tensioner is developed. A complex model procedure is developed to solve both underdamped and overdamped cases. This complex modal procedure allows for future extension to include nonsymmetric rotational models, such as transverse belt vibration coupling. The modal solution enables rapid analysis over a spectrum of frequencies. Seven pulley system experimental results reported in the literature support the analytical development. Belt damping has significant vibration and belt tension amplitude effects. Tensioner spring rate and coulomb damping has minor effects.

Complex Modal Analysis of a Flat Belt Pulley System With Belt Damping and Coulomb Damped Tensioner

1994 ◽  
Author(s):  
Theodore C. Kraver ◽  
G. William Fan ◽  
Jami Shah
Keyword(s):  
Minor Effect ◽  
Rotational Model ◽  
Pulley System ◽  
System Solution ◽  
Future Extension ◽  
Integration Techniques ◽  
Complex Modal Analysis ◽  
Vibration Coupling ◽  
Modal Solution ◽  
Complex Modal

Abstract The effects of damping on the rotational vibratory solution of a multiple pulley-flat elastomeric belt system with rotary tensioner is developed. Visco-elastic belt and coulomb tensioner arm damping are included. Belt span tension amplitude can also be determined. A complex modal procedure is developed to provide a straight forward way to solve for both the under-damped and over-damped cases. This complex modal procedure for the high-order non-symmetrical dynamic system solution was used to allow future extension to the non-symmetric rotational model of pulley wobble and transverse belt vibration coupling. The modal solution provides the rapid analysis over a spectrum of frequencies and saves significant time when compared to numerical integration techniques. Experimental results from the literature for a seven pulley test rig supports the complex modal solution in this paper. Analyses predict significant effect of belt damping on vibration amplitudes but minor effect from tensioner spring rate and coulomb damping.

Complex Modal Analysis of Non-Self-Adjoint Hybrid Serpentine Belt Drive Systems

2000 ◽  
Vol 123 (2) ◽  
pp. 150-156 ◽  
Author(s):  
Lixin Zhang ◽  
Jean W. Zu ◽  
Zhichao Hou
Keyword(s):  
Modal Analysis ◽  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
Mode Shapes ◽  
Belt Drive ◽  
Serpentine Belt ◽  
Complex Modal Analysis ◽  
Drive Systems ◽  
Complex Modal

A linear damped hybrid (continuous/discrete components) model is developed in this paper to characterize the dynamic behavior of serpentine belt drive systems. Both internal material damping and external tensioner arm damping are considered. The complex modal analysis method is developed to perform dynamic analysis of linear non-self-adjoint hybrid serpentine belt-drive systems. The adjoint eigenfunctions are acquired in terms of the mode shapes of an auxiliary hybrid system. The closed-form characteristic equation of eigenvalues and the exact closed-form solution for dynamic response of the non-self-adjoint hybrid model are obtained. Numerical simulations are performed to demonstrate the method of analysis. It is shown that there exists an optimum damping value for each vibration mode at which vibration decays the fastest.

Complex modal analysis and coupled electromechanical simulation of energy harvesting piezoelectric laminated beams

2018 ◽  
Vol 233 (7) ◽  
pp. 2526-2537 ◽  
Author(s):  
Abdolreza Pasharavesh ◽  
MT Ahmadian ◽  
H Zohoor
Keyword(s):  
Energy Harvesting ◽  
Modal Analysis ◽  
Output Voltage ◽  
Exact Analytical Solution ◽  
Lateral Displacement ◽  
Coupled Analysis ◽  
System Response ◽  
Complex Modal Analysis ◽  
Tip Mass ◽  
Complex Modal

In this paper, coupled electromechanical behavior of a vibrational energy harvesting system composed of a unimorph piezoelectric laminated beam with a large attached tip mass is investigated. To achieve this goal, first the electromechanically coupled partial differential equations governing the lateral displacement and output voltage of the harvester are extracted through exploiting the Hamilton’s principle. Considering vibration damping due to mechanical to electrical energy conversion, a complex modal analysis is performed to extract the complex eigenfrequencies and eigenfunctions of the system. Furthermore, an exact analytical solution is presented for the system response to the harmonic base excitations, including output voltage and harvested power. To validate the analytical results, at the next step a finite element simulation is conducted through ABAQUS software. To perform a fully-coupled analysis which brings into account the effect of harvesting circuit, user subroutine User-defined Amplitude (UAMP) is utilized to calculate the voltage–current relation and impose the correct electrical charge on the electrodes in each step by monitoring the output voltage of the system at previous time increments. Results of both analytical and numerical simulations are compared for a Micro-Electro-Mechanical Systems (MEMS) harvester as a case study, where a very good agreement is observed between them.

Complex modal analysis of serpentine belt drives based on beam coupling model

2017 ◽  
Vol 116 ◽  
pp. 162-177 ◽  
Author(s):  
Yue Pan ◽  
Xiandong Liu ◽  
Yingchun Shan ◽  
Gang(Sheng) Chen
Keyword(s):  
Modal Analysis ◽  
Coupling Model ◽  
Belt Drives ◽  
Beam Coupling ◽  
Serpentine Belt ◽  
Complex Modal Analysis ◽  
Complex Modal

Complex modal analysis of rods with viscous damping devices

2014 ◽  
Vol 333 (7) ◽  
pp. 2130-2163 ◽  
Author(s):  
Natale Alati ◽  
Giuseppe Failla ◽  
Adolfo Santini
Keyword(s):  
Modal Analysis ◽  
Viscous Damping ◽  
Complex Modal Analysis ◽  
Complex Modal
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