scholarly journals Detection of inclined edge crack in prismatic beam using static deflection measurements

Sadhana ◽  
2019 ◽  
Vol 44 (2) ◽  
Author(s):  
Sunil R Pansare ◽  
Sachin S Naik
Keyword(s):  
Edge Crack ◽  
Static Deflection ◽  
Prismatic Beam ◽  
Inclined Edge Crack ◽  
Static Deflection Measurements

Static Deflection and Free Vibration of Nonprismatic Beam Structures Solved by DQEM Using EDQ

2000 ◽  
Author(s):  
Chang-New Chen
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Numerical Algorithm ◽  
Equilibrium Equation ◽  
Static Deflection ◽  
Beam Structures ◽  
Prismatic Beam ◽  
Vibration Problems ◽  
Analysis Models ◽  
Element Boundary

Abstract The development of (DQEM) analysis models of static deformation and free vibration problems of generic non-prismatic beam structures was carried out. The DQEM uses the extended differential quadrature (EDQ) to discretize the buckling equilibrium equation defined on each element, the transition conditions defined on the inter-element boundary of two adjacent elements and the boundary conditions of the beam. Numerical results solved by the developed numerical algorithm are presented. They prove that the DQEM efficient.

Certain cases of elastic equilibrium of a composed wedge with an interface crack

2020 ◽  
Vol 25 (12) ◽  
pp. 2199-2209
Author(s):  
Konstantin B Ustinov
Keyword(s):  
Half Plane ◽  
Edge Crack ◽  
Elastic Equilibrium ◽  
Restrictive Condition ◽  
Uniform Loading ◽  
The Matrix ◽  
Remote Loading ◽  
The Common ◽  
Inclined Edge Crack ◽  
Crack Faces

Problems of interface cracks starting from the common corner points of pairs of perfectly glued wedges of different isotropic elastic materials are addressed. It is demonstrated that for a few particular configurations and a restrictive condition imposed on values of elastic constants (corresponding to vanishing of the second Dundurs parameter), the problem of elastic equilibrium may be solved by Khrapkov’s method. These configurations are: (i) the wedges forming a half-plane; (ii) the wedges forming a plane; (iii) one of the wedges being a half-plane. In all cases, the external boundaries are supposed to be free of stresses. By applying Mellin’s transform for all three configurations the problem has been reduced to vector Riemann’s problem, and the matrix coefficient has been factorized for the case of the mentioned restrictive condition. The first configuration, i.e. the problem of an inclined edge crack located along the boundary separating two wedges of different elastic isotropic materials forming a half-plane is considered in more detail. The solution has been obtained for both uniform (corresponding to remote loading) and non-uniform (loading applied at the crack faces) problems. Numerical results are presented and compared with the available results obtained by other authors for particular cases. The obtained solutions appear especially valuable for analysing extreme cases of parameters.

A New Reactive Hybrid Membership Function in Fuzzy Approach for Identification of Inclined Edge Crack in Cantilever Beam Using Vibration Signatures

2014 ◽  
Vol 592-594 ◽  
pp. 1996-2000 ◽  
Author(s):  
K.B. Ranjan ◽  
Sasmita Sahu ◽  
R. Parhi Dayal
Keyword(s):  
Cantilever Beam ◽  
Edge Crack ◽  
Fuzzy Controller ◽  
Experimental Results ◽  
Mode Shapes ◽  
Crack Identification ◽  
Hybrid Technique ◽  
Membership Functions ◽  
Inclined Edge Crack ◽  
Vibration Signatures

In this paper, the crack identification using smart technique (by several hybrid membership functions in a fuzzy controller) has been developed for inverse analysis of the vibration signatures (like modal frequencies, mode shapes) and crack parameters (like crack depth, crack location and crack inclination) of an inclined edge crack cantilever beam. The modal frequencies are obtained from finite element (using ANSYS) and experimental analysis which are used as inputs to the hybrid fuzzy controller. The hybrid fuzzy system is designed by taking different types of membership functions (MF) to determine the crack parameters. The calculated first three modal frequencies are used to create number of fuzzy rules with the three output crack parameters. Finally, the proposed hybrid technique is validated by comparing the results obtained from trapezoidal and Gaussian fuzzy controllers, FEA and experimental results. The outcomes obtained from hybrid fuzzy controller are in good agreement with experimental results. Nomenclature

scholarly journals Sensitivity of Parameter Changes in Structural Damage Detection

1997 ◽  
Vol 4 (1) ◽  
pp. 27-37 ◽  
Author(s):  
C. H. Jenkins ◽  
L. Kjerengtroen ◽  
H. Oestensen
Keyword(s):  
Damage Detection ◽  
Structural Damage ◽  
Structural Response ◽  
Theoretical Models ◽  
Modal Parameters ◽  
Complex Structures ◽  
Static Deflection ◽  
Structural Damage Detection ◽  
Dynamic Measurements ◽  
Static Deflection Measurements

Structural damage detection by nondestructive methods is highly desirable. Changes in modal parameters such as frequency, damping, and mode shape are particularly inviting. Evidence is presented here that reveals that static deflection can, in many cases, be a more sensitive predictor of structural damage than frequency. The reasons for this are illuminated within, and hinge on very fundamental issues about the very nature of structural response. Furthermore, static deflection measurements are often easier to make, with higher levels of accuracy than dynamic measurements. Comparisons are made between theoretical models and experimental results for simple structures, with extensions given to more complex structures.

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