CALCULATION OF THE NATURAL FREQUENCY OF VIBRATION OF AN ORTHOPEDIC SCREW IN CANCELLOUS BONE OF VARIOUS ORIENTATIONS USING THE FINITE ELEMENT METHOD

2002 ◽  
Vol 02 (01) ◽  
pp. 67-79 ◽  
Author(s):  
K. R. WILLIAMS ◽  
F. A. YOUNG
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequency ◽  
Cancellous Bone ◽  
Screw Fixation ◽  
Clinical Problem ◽  
The Finite Element Method ◽  
Simple Description ◽  
Natural Frequency Analysis ◽  
Element Method

The assessment of the stability of implants in cancellous bone remains a clinical problem. It has been shown that orthopaedic screw fixation depends on the microstructure and orientation of the trabeculae. In the current study we have investigated the possibility of using natural frequency analysis as a means of ranking screw fixation in cancellous bone. A dynamic modal analysis has been completed using the finite element method as a means of measuring implant frequency in a simple description of cancellous bone. A range of impulse excitation values have been examined which lead to implant resonance in different cancellous bone architectures. These values are reported in order that the eventual provision of a clinical diagnostic tool may correctly assess frequency values from the applied impulse.

Natural Frequencies of Rectangular Membrane With Boundary Perturbation

1995 ◽  
Vol 1 (2) ◽  
pp. 139-144 ◽  
Author(s):  
Jamal A. Masad
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Galerkin Method ◽  
Natural Frequency ◽  
Natural Frequencies ◽  
Perturbation Approach ◽  
Boundary Perturbation ◽  
The Finite Element Method ◽  
Analytic Expression ◽  
Element Method

A perturbation approach, coupled with the adjoint concept, is used to derive an analytic expression for the natural frequencies of a nearly rectangular membrane. The method is applied for a rectangular membrane with a semicircle at one of the boundaries. The fundamental natural frequency results for this configuration are presented and compared with results from a finite-element method and results from an approximate Galerkin method. The agreement between the fundamental natural frequencies calculated with the perturbation approach and those calculated with the finite-element method improves as the radius of the semicircle decreases and as the semicircle location becomes more eccentric.

scholarly journals Biomechanical Evaluation of a Spinal Screw Fixation System by the Finite Element Method

2015 ◽  
Vol 33 (1) ◽  
pp. 318-326
Author(s):  
Ana Paula Macedo ◽  
João Paulo Mardegan Issa ◽  
Helton Luiz Aparecido Defino ◽  
Antonio Carlos Shimano
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Screw Fixation ◽  
The Finite Element Method ◽  
Biomechanical Evaluation ◽  
Fixation System ◽  
Element Method

Rotordynamics analysis of a quill-shaft coupling-rotor-bearing system

2014 ◽  
Vol 229 (8) ◽  
pp. 1385-1398 ◽  
Author(s):  
S Feng ◽  
HP Geng ◽  
L Yu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Natural Frequency ◽  
Stiffness Matrix ◽  
Equation Of Motion ◽  
Numerical Results ◽  
The Finite Element Method ◽  
Rotor Bearing ◽  
Bearing System ◽  
Element Method

A quill-shaft coupling-rotor-bearing system is modeled and reported in this paper. The system consists of two rotors connected by a quill-shaft coupling in which each rotor is supported by two bearings. The stiffness matrix of the quill-shaft coupling is deduced and the equation of motion of the system is obtained by using the finite element method. Finally, the rotordynamics analysis of the system is conducted. The numerical results show that more frequency veering points occur for the quill-shaft coupling-rotor-bearing system compared with those of single rotor. In addition, the stiffness of the flexural element has significant effects on the first bending natural frequency of the quill shaft when the length of the quill shaft becomes shorter.

scholarly journals Natural Frequency Calculations with JuliaFEM

2017 ◽  
Vol 50 (3) ◽  
pp. 300-303 ◽  
Author(s):  
Marja Rapo ◽  
Jukka Aho ◽  
Tero Frondelius
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Open Source ◽  
Natural Frequency ◽  
Frequency Analysis ◽  
Commercial Software ◽  
Calculation Results ◽  
Natural Frequency Analysis ◽  
Element Method

This article presents a simple natural frequency analysis performed with JuliaFEM - an open-source finite element method program. The results are compared with the analysis results pruduced with a commercial software. The comparison shows that the calculation results between the two programs do not differ significantly.

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