Effect of modal overlap factor on the ray tracing analysis of the curved beam structure: A computational study

A general wave approach for the vibration analysis of curved beam structures is presented. The analysis is based on wave propagation, transmission, and reflection, including the effects of both propagating and decaying near-field wave components. A matrix formulation is used that offers a systematic and concise method for tackling free and forced vibrations of complex curved beam structures. To illustrate the effectiveness of the approach, several numerical examples are presented. The predictions made using the wave approach are shown to be in excellent agreement with a conventional finite element analysis, with the advantage of reduced computational costs and good conditioning number of the characteristic equation. The developed wave approach is applied to investigate the free vibration, vibration transmission, and power flow of built-up structures consisting of curved beams, straight beams, and masses, with the aim for designing vibration isolation structure with high attenuation ability. Wave reflection and transmission in the infinite curved beam structure, as well as vibration and energy transmission in coupled finite curved beam structure are investigated. Numerical results show that wave mode conversion takes place for the reflected and transmitted wave propagating through a curved beam, and the power flow in the coupled curved beam structure shows energy attenuation and conversion by curved beam and the discontinuities. The investigation will shed some light on the designing of curved beam structures.

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Research and Application of External Prestressing Curved Beam’s Tendons

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.639-640.1245 ◽

2013 ◽

Vol 639-640 ◽

pp. 1245-1248

Author(s):

Min Yuan Huang ◽

Zong Ren Zou

Keyword(s):

Structural Engineering ◽

Theoretical Foundation ◽

Curved Beam ◽

Control Parameters ◽

Beam Structure ◽

Inappropriate Use ◽

External Prestressing ◽

External Reinforcement ◽

Structural Force ◽

Associated Design

With continuous development of the structural engineering, a perfect theoretical foundation and construction means is the key to its development. Combined with characteristics of the curved beam, it will be closely integrated together with external prestressing technology. The associated design and construction research can be carried out, in order to fully meet the need of the prestressing development. In this paper, the advantages of external prestressing curved beam was studied, and relevant contents are as follows: reasonable adjustment of external prestressing tendon’s diameter makes the structural force to become more uniform and prevents inappropriate use to tendon; reasonable external prestressing tendon and anchorage is the premise of good structure connection. The crucial problems should to be solved are the lower anchor position and stress concentration treatment. Considering the security need of prestressing curved beam’s tendon connection, attention should be paid not only to its materials and mechanical properties, but also to the convenience of construction. The external reinforcement work of prestressing curved beam is to ensure reasonable control parameters, as well as to ensure the optimal design of reinforced construction. As for the technical grasp on the theory and construction of external prestressing curved beam structure, it will make them have broader development space.

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Transfer Matrix Analysis for Curved Beam Structure

Key Engineering Materials ◽

10.4028/www.scientific.net/kem.774.131 ◽

2018 ◽

Vol 774 ◽

pp. 131-136 ◽

Cited By ~ 1

Author(s):

Shoichi Kuroda ◽

Masayuki Arai ◽

Kiyohiro Ito

Keyword(s):

Transfer Matrix ◽

Matrix Analysis ◽

Curved Beam ◽

Beam Structure ◽

Pipe System ◽

Curved Pipe ◽

Power Stations ◽

Transfer Matrix Analysis ◽

Pipe Line ◽

External Forces

The curved beam structure such as pipe system has been widely used in industrial plants or power stations. In this study, the reduction technique of stiffness matrix, which is refered to “transfer matrix method (TM)“, is developed to solve effectively the problem. For achieving the purpose, the transfer matrix Fk to transfer deformation, rotation, force and moment from node i to node i+1, which are named for both edges in k-th beam element, is formulated. The global transfer matrix is then constructed by multiplying as R(θk+1,k)·Fk···R(θ2,1)·F1···R(θk+1,k) is the coordinate rotation matrix. The efficiency and simplicity of this method is demonstrated by solving the problem of a curved pipe line with elbow which is subjected to external forces and displacements. The results are compared with those obtained by FEM.

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Theoretical Analysis of an Implantable Force Transducer for Tendon and Ligament Structures

Journal of Biomechanical Engineering ◽

10.1115/1.2891368 ◽

1992 ◽

Vol 114 (2) ◽

pp. 170-177 ◽

Cited By ~ 33

Author(s):

W. S. Xu ◽

D. L. Butler ◽

D. C. Stouffer ◽

E. S. Grood ◽

D. L. Glos

Keyword(s):

Mathematical Model ◽

Theoretical Analysis ◽

Parametric Analysis ◽

Force Transducer ◽

Bench Test ◽

Curved Beam ◽

Beam Structure ◽

Transverse Pressure ◽

Sensitivity Ratio ◽

Design Factors

A mathematical model was developed for an implantable force transducer to be inserted within the midsubstance of a ligament or tendon. The model was generated by performing both equilibrium and strain-displacement analyses on a metallic, curved beam structure placed within a parallel-fibered tissue. The analysis permitted the transverse pressure acting between the device and fibers to be calculated along with peak device strain and sensitivity (ratio of strain output to axial tissue force). Transducer pressure and transducer strain were expressed in terms of nondimensionalized design factors. A parametric analysis of the key design factors was then performed. The transverse pressure was shown to vary little for large changes in these factors whereas device strain changed markedly. The analysis was verified by a bench test on an example device. Such a model permits a proposed design to be evaluated without having to conduct costly experiments.

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