A New Analytical Approach for the Determination of the Transient Response in Elastic Mechanisms

1993 ◽  
Vol 115 (1) ◽  
pp. 119-124 ◽  
Author(s):  
T. Xu ◽  
G. G. Lowen
Keyword(s):  
Transient Response ◽  
Analytical Approach ◽  
Characteristic Exponent ◽  
Homogeneous Solution ◽  
Mathematical Work ◽  
Floquet Solution ◽  
Simulation Based ◽  
Elastic Mechanism ◽  
Type Differential Equation

Recent work on multi-regime per cycle machinery has shown that for such systems the transient response of the link deflections, which is governed by the homogeneous solution to a Hill-type differential equation, cannot be neglected in a meaningful simulation. Based on mathematical work by E. T. Whittaker, a new analytical approach for obtaining such transient responses is given. It is achieved by the determination of the characteristic exponent in the stable regions of the Floquet solution to the Hill’s equation involved. This technique is applied to a specific elastic mechanism. Several sample computations show that the transient response may vary from near-periodic to totally aperiodic.

A New Analytical Approach for the Determination of the Transient Response in Elastic Mechanisms

1992 ◽  
Author(s):  
T. Xu ◽  
G. G. Lowen
Keyword(s):  
Transient Response ◽  
Analytical Approach ◽  
Characteristic Exponent ◽  
Homogeneous Solution ◽  
Mathematical Work ◽  
Floquet Solution ◽  
Simulation Based ◽  
Elastic Mechanism ◽  
Type Differential Equation

Abstract Recent work on multi-regime per cycle machinery has shown that for such systems the transient response of the link deflections, which is governed by the homogeneous solution to a Hill-type differential equation, cannot be neglected in a meaningful simulation. Based on mathematical work by E.T. Whittaker, a new analytical approach for obtaining such transient responses is given. It is achieved by the determination of the characteristic exponent in the stable regions of the Floquet solution to the Hill’s equation involved. This technique is applied to a specific elastic mechanism. Several sample computations show that the transient response may vary from near-periodic to totally aperiodic.

scholarly journals Determination of Objective Weights Using a New Method Based on the Removal Effects of Criteria (MEREC)

Symmetry ◽  
2021 ◽  
Vol 13 (4) ◽  
pp. 525 ◽  
Author(s):  
Mehdi Keshavarz-Ghorabaee ◽  
Maghsoud Amiri ◽  
Edmundas Kazimieras Zavadskas ◽  
Zenonas Turskis ◽  
Jurgita Antucheviciene
Keyword(s):  
Essential Elements ◽  
New Method ◽  
Multi Criteria Decision Making ◽  
Analysis Of Means ◽  
Simulation Based ◽  
Criteria Weights ◽  
The Stability ◽  
Computational Analyses ◽  
Weighting Methods

The weights of criteria in multi-criteria decision-making (MCDM) problems are essential elements that can significantly affect the results. Accordingly, researchers developed and presented several methods to determine criteria weights. Weighting methods could be objective, subjective, and integrated. This study introduces a new method, called MEREC (MEthod based on the Removal Effects of Criteria), to determine criteria’ objective weights. This method uses a novel idea for weighting criteria. After systematically introducing the method, we present some computational analyses to confirm the efficiency of the MEREC. Firstly, an illustrative example demonstrates the procedure of the MEREC for calculation of the weights of criteria. Secondly, a comparative analysis is presented through an example for validation of the introduced method’s results. Additionally, we perform a simulation-based analysis to verify the reliability of MEREC and the stability of its results. The data of the MCDM problems generated for making this analysis follow a prevalent symmetric distribution (normal distribution). We compare the results of the MEREC with some other objective weighting methods in this analysis, and the analysis of means (ANOM) for variances shows the stability of its results. The conducted analyses demonstrate that the MEREC is efficient to determine objective weights of criteria.

Determination of Zirconium by Precipitation from Homogeneous Solution

1949 ◽  
Vol 21 (2) ◽  
pp. 293-295 ◽  
Author(s):  
H. H. Willard ◽  
R. B. Hahn
Keyword(s):  
Homogeneous Solution

scholarly journals Determination of Energy and Protein Requirements of Sheep in Indonesia using a Meta-analytical Approach

2017 ◽  
Vol 40 (2) ◽  
pp. 118-127 ◽  
Author(s):  
A. Jayanegara ◽  
M. Ridla ◽  
D.A. Astuti ◽  
K.G. Wiryawan ◽  
E.B. Laconi ◽  
...  
Keyword(s):  
Analytical Approach ◽  
Protein Requirements

ANALYTICAL APPROACH FOR THE DETERMINATION OF MOLECULAR WEIGHTS OF n-ALKANES IN CRUDE OIL DISTILLATION CUTS

1997 ◽  
Vol 15 (3-4) ◽  
pp. 273-282
Author(s):  
Marco Antonio G. Teixeira ◽  
Artur L. Scofield ◽  
Marcos Vinicius R. Cabral
Keyword(s):  
Crude Oil ◽  
Analytical Approach ◽  
Molecular Weights ◽  
Crude Oil Distillation
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