Measurement of axial forces via natural frequency

1998 ◽  
Author(s):  
Samer H. Petro ◽  
Don Reynolds ◽  
Shen EnChen ◽  
Hota V. S. GangaRao
Keyword(s):  
Natural Frequency ◽  
Axial Forces

scholarly journals The effect of influence of conservative and tangential axial forces on transverse vibrations of tapered vertical columns

2017 ◽  
Vol 4 (20) ◽  
pp. 333-342
Author(s):  
Jerzy Jaroszewicz ◽  
Leszek Radziszewski ◽  
Łukasz Dragun
Keyword(s):  
Boundary Value Problem ◽  
Natural Frequency ◽  
Critical Loads ◽  
Cauchy Function ◽  
Axial Forces ◽  
Transverse Vibrations ◽  
Cantilever Length ◽  
Tangential Forces ◽  
Elastically Supported ◽  
Good Agreement

The Cauchy function and characteristic series were applied to solve the boundary value problem of free transverse vibrations of vertically mounted, elastically supported tapered cantilever columns. The columns can be subjected to universal axial point loads which considerate – conservative and follower /tangential/ forces, and to distributed loads along the cantilever length. The general form of characteristic equation was obtained taking into account the shape of tapered cantilever for attached and elastically secured. Bernstein-Kieropian double and higher estimators of natural frequency and critical loads were calculated based on the first few coefficients of the characteristic series. Good agreement was obtained between the calculated natural frequency and the exact values available in the literature.

Vibration and Dynamic Instability of a Beam-Plate in a Transverse Magnetic Field

1969 ◽  
Vol 36 (1) ◽  
pp. 92-100 ◽  
Author(s):  
F. C. Moon ◽  
Yih-Hsing Pao
Keyword(s):  
Magnetic Field ◽  
Experimental Data ◽  
Mathematical Model ◽  
Natural Frequency ◽  
Dynamic Instability ◽  
Critical Value ◽  
Transverse Magnetic ◽  
Axial Forces ◽  
Oscillating Magnetic Field ◽  
Theoretical Results

Experiments show that the natural frequency of a beam-plate in a transverse static magnetic field decreases to near zero as the field attains a critical value which causes the same plate to buckle statically. Under an oscillating magnetic field the beam-plate is observed to become unstable and perform parametrically excited oscillations. A mathematical model based on a quasistatic solution for the magnetization in the deformed plate is proposed. The theoretical results agree very well with the experimental data. It is shown that the phenomena are analogous to those for a beam-column under static and dynamic axial forces.

FREE VIBRATION OF SEMI-RIGIDLY CONNECTED PILES EMBEDDED IN SOILS WITH DIFFERENT SUBGRADES

2008 ◽  
Vol 08 (02) ◽  
pp. 299-320 ◽  
Author(s):  
YUSUF YESILCE ◽  
HIKMET H. CATAL
Keyword(s):  
Free Vibration ◽  
Natural Frequency ◽  
Axial Force ◽  
Free Vibration Analysis ◽  
Subgrade Reaction ◽  
Rotational Spring ◽  
Winkler Model ◽  
Axial Forces ◽  
Rigid Connection ◽  
Pile Length

This paper is concerned with the free vibration analysis of Timoshenko piles partially embedded in elastic soil, semi-rigidly connected at the upper end, and subjected to an axial force. The pile is divided into three regions: the pile portion above the soil constitutes the first region, while the second and third regions are the pile portion that is embedded in two different layers of the soil type. The pile material is assumed to be linearly elastic and the axial force is constant along the pile length. The soil is idealized by the Winkler model and the semi-rigid connection of the pile is modeled by a rotational spring. The natural frequencies of the piles are calculated from the transfer matrix for different axial forces, rotational spring constants, subgrade reaction moduli and embedded lengths of the pile. The results indicate that the natural frequency of the pile decreases as the axial force increases. Further, the increase in the stiffness of the rotational spring at the upper end of the pile causes only a small increase in the natural frequency. Finally, both the pile length and the subgrade reaction of the soil influence significantly the natural frequency of the pile.

scholarly journals Modeling and Analysis of Axial Dynamics of Cable Arrangement Device Based on MATLAB

2021 ◽  
Author(s):  
Fankai Kong ◽  
Yucai Pan ◽  
Jiawei Zhao ◽  
Nan Zhang ◽  
Zhenyang Wang ◽  
...  
Keyword(s):  
Natural Frequency ◽  
Dynamic Equation ◽  
Lagrange Equation ◽  
Dynamics Analysis ◽  
Modeling And Analysis ◽  
System Parameters ◽  
First Order ◽  
Axial Forces ◽  
Damping Model ◽  
Force Characteristics

Aiming at the current insufficient dynamic analysis of the cable arrangement device, the axial dynamics analysis of the cable arrangement device is carried out in combination with the force characteristics of the cable arrangement device. The axial dynamic model of cable arrangement device is established by using spring-damping model, and the dynamic equation is established by using Lagrange equation. The influence of system parameters of cable arrangement device on axial first-order natural frequency is analyzed by numerical method. By fitting and loading the external excitation of the cable arrangement device, the axial dynamic response of the cable arrangement device under different axial forces is obtained. Through numerical results, the influence laws of the position and mass of the traveling mechanism and the support stiffness of the lead screw on the axial first-order natural frequency are obtained, It is found that the axial displacement of the cable arrangement device under axial force is very small, and the cable arrangement device has strong retention of dynamic characteristics. The results have certain guiding significance for the structural design and application environment of cable arrangement device.

Statics and Dynamics of MEMS Arches Under Axial Forces

2013 ◽  
Vol 135 (2) ◽  
Author(s):  
Sami A. Alkharabsheh ◽  
Mohammad I. Younis
Keyword(s):  
Natural Frequency ◽  
Stable Operation ◽  
Electrostatic Forces ◽  
Order Model ◽  
Reduced Order ◽  
Electrostatically Actuated ◽  
Axial Forces ◽  
Compressive Loads ◽  
Statics And Dynamics ◽  
Static Equation

This works aims to investigate the effect of axial forces on the static behavior and the fundamental natural frequency of electrostatically actuated MEMS arches. The analysis is based on a nonlinear equation of motion of a shallow arch under axial and electrostatic forces. The static equation is solved using a reduced-order model based on the Galerkin procedure. The effects of the axial and electrostatic forces on the static response are examined. Then, the eigenvalue problem of the arch is solved for various equilibrium positions. Several results are shown for the variations of the natural frequency and equilibrium position of the arch under axial forces ranging from compressive loads beyond buckling to tensile loads and for voltage loads starting from small values to large values near the pull-in instability. It is found that the dynamics of MEMS arches are very sensitive to axial forces, which may be induced unintentionally through microfabrication processes or due to temperature variations while in use. On the other hand, it is shown that axial forces can be used deliberately to control the dynamics of MEMS arches to achieve desirable functions, such as extending their stable operation range and tuning their natural frequencies.

Influence of the distribution of the shear walls on the seismic response of the buildings

2020 ◽  
Vol 15 (1) ◽  
pp. 37-44
Author(s):  
El Mehdi Echebba ◽  
Hasnae Boubel ◽  
Oumnia Elmrabet ◽  
Mohamed Rougui
Keyword(s):  
Structural Analysis ◽  
Seismic Response ◽  
Natural Frequency ◽  
Structural Design ◽  
Structural Response ◽  
Shear Walls ◽  
Structural Elements ◽  
Analysis Software ◽  
Ansys Apdl ◽  
The Impact

Abstract In this paper, an evaluation was tried for the impact of structural design on structural response. Several situations are foreseen as the possibilities of changing the distribution of the structural elements (sails, columns, etc.), the width of the structure and the number of floors indicates the adapted type of bracing for a given structure by referring only to its Geometric dimensions. This was done by studying the effect of the technical design of the building on the natural frequency of the structure with the study of the influence of the distribution of the structural elements on the seismic response of the building, taking into account of the requirements of the Moroccan earthquake regulations 2000/2011 and using the ANSYS APDL and Robot Structural Analysis software.

Effect of Curved Thin-film Device on Natural Frequency of Rectangle Membrane under Uniaxial Tension

2019 ◽  
Vol 18 (0) ◽  
pp. 73-80 ◽  
Author(s):  
Masanori MATSUSHITA ◽  
Nobukatsu OKUIZUMI ◽  
Yasutaka SATOU ◽  
Osamu MORI ◽  
Takashi IWASA ◽  
...  
Keyword(s):  
Thin Film ◽  
Uniaxial Tension ◽  
Natural Frequency ◽  
Thin Film Device
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