Estimation of distributed transverse displacement and velocity from distributed strain measurements in a cantilever beam

1995 ◽  
Author(s):  
Murali Gopinathan ◽  
Grazyna A. Pajunen ◽  
P. S. Neelakanta ◽  
Madasamy Arockiasamy
Keyword(s):  
Cantilever Beam ◽  
Transverse Displacement ◽  
Strain Measurements ◽  
Distributed Strain

Stationary random vibration of a viscoelastic Timoshenko cantilever beam under diverse random processes

2019 ◽  
Vol 234 (4) ◽  
pp. 849-861
Author(s):  
Qingzhao Zhou ◽  
David He ◽  
Yaping Zhao
Keyword(s):  
White Noise ◽  
Cantilever Beam ◽  
Time Correlation ◽  
Random Excitation ◽  
Transverse Displacement ◽  
Mean Square ◽  
Concentrated Force ◽  
The Mean ◽  
Definite Integration ◽  
Band Limited

In this paper, the stochastic properties of a uniform Timoshenko cantilever beam are investigated systematically. Based on the external viscous damping and Kelvin–Voigt viscoelastic damping, the partial differential equations of the Timoshenko beam subjected to random excitation are derived. The applied load is the concentrated force, and the excitation related to includes the ideal white noise, the band-limited white noise, and the exponential noise. Expressions are obtained for the space–time correlation functions and the space–frequency power spectral density functions of the transverse displacement response. The evident improvement is that the infinite integral and the definite integration in the mean square responses are worked out by means of the residue integral method and the integration by partial fraction, and the exact solutions of the mean square response are obtained in the form of an infinite series finally. This improvement provides a basis for both the mode truncation and the modal cross-spectral densities whether which can be ignored. Providing the numerical example, the numerical results obtained show the effectiveness of the theoretical analysis.

scholarly journals Peridynamic Higher-Order Beam Formulation

2020 ◽  
Author(s):  
Zhenghao Yang ◽  
Erkan Oterkus ◽  
Selda Oterkus
Keyword(s):  
Finite Element Method ◽  
Cantilever Beam ◽  
Higher Order ◽  
Point Load ◽  
Transverse Displacement ◽  
Lagrange Equations ◽  
Concentrated Load ◽  
Simply Supported Beam ◽  
Simply Supported ◽  
Good Agreement

Abstract In this study, a novel higher-order peridynamic beam formulation is presented. The formulation is obtained by using Euler-Lagrange equations and Taylor’s expansion. To demonstrate the capability of the presented approach, several different beam configurations are considered including simply supported beam subjected to distributed loading, simply supported beam with concentrated load, clamped-clamped beam subjected to distributed loading, cantilever beam subjected to a point load at its free end and cantilever beam subjected to a moment at its free end. Transverse displacement results along the beam obtained from peridynamics and finite element method are compared with each other and very good agreement is obtained between the two approaches.

2504 Distributed Strain Measurements of Weld Joint by Optical Fiber Sensors

2007 ◽  
Vol 2007.6 (0) ◽  
pp. 209-210
Author(s):  
Kohei OHARA ◽  
Hideaki MURAYAMA ◽  
Kazuro KAGEYAMA ◽  
Isao OSAWA ◽  
Kiyoshi UZAWA ◽  
...  
Keyword(s):  
Optical Fiber ◽  
Weld Joint ◽  
Optical Fiber Sensors ◽  
Fiber Sensors ◽  
Strain Measurements ◽  
Distributed Strain

scholarly journals Distributed strain measurements using fiber Bragg gratings in small-diameter optical fiber and low-coherence reflectometry

2010 ◽  
Vol 18 (25) ◽  
pp. 26484 ◽  
Author(s):  
Dragan Coric ◽  
Marco Lai ◽  
John Botsis ◽  
Aiping Luo ◽  
Hans G. Limberger
Keyword(s):  
Optical Fiber ◽  
Fiber Bragg Gratings ◽  
Small Diameter ◽  
Bragg Gratings ◽  
Strain Measurements ◽  
Low Coherence ◽  
Distributed Strain

Modal analysis of a cantilever beam by use of Brillouin based distributed dynamic strain measurements

2012 ◽  
Vol 21 (12) ◽  
pp. 125022 ◽  
Author(s):  
Aldo Minardo ◽  
Agnese Coscetta ◽  
Salvatore Pirozzi ◽  
Romeo Bernini ◽  
Luigi Zeni
Keyword(s):  
Modal Analysis ◽  
Cantilever Beam ◽  
Dynamic Strain ◽  
Strain Measurements
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