On determination of the natural frequency of transverse and longitudinal vibrations of a cracked beam. Part 1. analytical approach

1999 ◽  
Vol 31 (2) ◽  
pp. 130-137 ◽  
Author(s):  
A. P. Bovsunovskii
Keyword(s):  
Natural Frequency ◽  
Analytical Approach ◽  
Longitudinal Vibrations ◽  
Cracked Beam

DETERMINATION OF THE FUNCTION OF THE ROD’S CROSS-SECTIONAL AREA USING VIBRATION EIGENFREQUENCIES

2020 ◽  
Vol 0 (4) ◽  
pp. 19-24
Author(s):  
I.M. UTYASHEV ◽  
◽  
A.A. AITBAEVA ◽  
A.A. YULMUKHAMETOV ◽  
◽  
...  
Keyword(s):  
Cross Sectional Area ◽  
Variable Cross ◽  
Sectional Area ◽  
Longitudinal Vibrations ◽  
Cross Sectional ◽  
Method Error ◽  
Various Boundary Conditions ◽  
Elastic Fixation ◽  
Crosssectional Area

The paper presents solutions to the direct and inverse problems on longitudinal vibrations of a rod with a variable cross-sectional area. The law of variation of the cross-sectional area is modeled as an exponential function of a polynomial of degree n . The method for reconstructing this function is based on representing the fundamental system of solutions of the direct problem in the form of a Maclaurin series in the variables x and λ. Examples of solutions for various section functions and various boundary conditions are given. It is shown that to recover n unknown coefficients of a polynomial, n eigenvalues are required, and the solution is dual. An unambiguous solution was obtained only for the case of elastic fixation at one of the rod’s ends. The numerical estimation of the method error was made using input data noise. It is shown that the error in finding the variable crosssectional area is less than 1% with the error in the eigenvalues of longitudinal vibrations not exceeding 0.0001.

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

Experimental Investigations on the Contour Generation of a Reconfigurable Stewart Platform

2013 ◽  
pp. 291-301
Author(s):  
G. Satheesh Kumar ◽  
T. Nagarajan
Keyword(s):  
Error Analysis ◽  
Natural Frequency ◽  
Vibration Isolation ◽  
Stewart Platform ◽  
Design Tool ◽  
Experimental Investigations ◽  
Variable Geometry ◽  
Optimum Geometry ◽  
Complete Set

Reconfiguration of Stewart platform for varying tasks accentuates the importance for determination of optimum geometry catering to the specified task. The authors in their earlier work (Satheesh et al., 2008) have indicated the non availability of an efficient holistic methodology for determining the optimum geometry. Further, they have proposed a solution using the variable geometry approach through the formulation of dimensionless parameters in combination with generic parameters like configuration and joint vector. The methodology proposed provides an approach to develop a complete set of design tool for any new reconfigurable Stewart platform for two identified applications viz., contour generation and vibration isolation. This paper details the experimental investigations carried out to validate the analytical results obtained on a developed Stewart platform test rig and error analysis is performed for contour generation. The experimental natural frequency of the developed Stewart platform has also been obtained.

scholarly journals PIDANA PENGAWASAN TERHADAP ANAK YANG BERHADAPAN DENGAN HUKUM DALAM SISTEM PEMIDANAAN DI INDONESIA

2013 ◽  
Vol 2 (3) ◽  
Author(s):  
I Putu Suwarsa
Keyword(s):  
Criminal Law ◽  
Analytical Approach ◽  
Criminal Policy ◽  
Legal Protection ◽  
Comparative Approach ◽  
Legal Concept ◽  
Normative Approach ◽  
Positive Law ◽  
The Law

ABSTRACTThis research was conducted with the normative approach legislation. Factualapproach, analytical approach to the legal concept of a comparative approach in thecriminal judicial oversight of Children in Conflict with the Law in the criminal sistem inIndonesia.In formulating criminal law criminal policy oversight of Children in Conflict withthe Law in the guidance sistem of positive law in Indonesia, consists of 3 major topics:First, the substance of Children in Conflict with the Law into law in Indonesia, Second,Determination of sanctions / penalties against Children in Conflict with the Law inIndonesia's criminal law policy, Third, criminal oversight of Children in Conflict with theLaw and its relevance to the theory of punishment in modern criminal law in Indonesia.Criminal oversight of Children in Conflict with the Law as the integrative goals ofpunishment in accordance with the ideas and correctional sistem discussed 3 subjectsnamely: First, criminal oversight of anal naughty review of aspects of the integrativetheory of punishment, Second, Criminal oversight of Children in Conflict with the Lawreview of aspects of correctional sistem, Third, Criminal oversight of Children in Conflictwith the Law in terms of aspects of legal protection and benefit of the criminal lawrequirement for social welfare (children). And its application by all law enforcementcomponents and related institutions involved in handling cases of children in conflict withthe law in coaching children in prison.

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