Application of Natural Frequency Computation Analysis of nonlocal elastic beam

2013 ◽  
Vol 2013 (1) ◽  
pp. 10
Author(s):  
Chenggao Ren ◽  
Keyword(s):  
Natural Frequency ◽  
Elastic Beam ◽  
Computation Analysis

Analysis of Bridge-Type Nano-Positioning Stage

2010 ◽  
Vol 44-47 ◽  
pp. 3828-3832
Author(s):  
Li Ma ◽  
Zheng Feng He ◽  
Hang Kong Ouyang
Keyword(s):  
Natural Frequency ◽  
Tilt Angle ◽  
Elastic Beam ◽  
Beam Theory ◽  
Theory Analysis ◽  
Frequency Model ◽  
Amplification Ratio ◽  
Positioning Stage ◽  
Bridge Type ◽  
The Ideal

A piezoelectric nanostage using bridge-type flexure hinge mechanisms is developed. Elastic beam theory was used to analyze the ideal and theoretic displacement amplification ratio and find that their value is mainly influenced by the length of the tilt rod and tilt angle of bridge-type. A multilayer S-type hinge is designed as the prismatic of moving platform. Stiffness and natural frequency model of the whole stage is built and find out that their value is mainly relevant to hinge thickness, tilt angle of bridge-type hinge and length of S-type hinge. Finally, finite element method (FEM) is used to verify the drived model. The errors of the total stiffness and the natural frequency of the stage between FEM and theory analysis are 3.8% and 6.6% respectively, which confirm the predictions of theory analysis.

Vibration control of a servomotor-driven coupled elastic shaft-elastic beam system

2004 ◽  
Vol 218 (10) ◽  
pp. 1115-1124
Author(s):  
H Diken ◽  
A Ankarali
Keyword(s):  
Control System ◽  
Natural Frequency ◽  
Frequency Ratio ◽  
Damping Ratio ◽  
Elastic Beam ◽  
Step Response ◽  
Elastic Shaft ◽  
Disc Rotation ◽  
Frequency Ratios ◽  
System Frequency

In this study an elastodynamic control system consisting of servomotor, elastic shaft, disc and elastic beam, which is attached to the disc, is considered. Non-dimensional parametric equations of motions are obtained. The control system damping ratio, the frequency ratio of the torsional natural frequency to the beam natural frequency and also the frequency ratio of the beam natural frequency to the control system frequency are used as parameters. Simulation results are obtained for the step response of the disc rotation and for the beam tip vibration for different frequency ratios. Results show that even for highly flexible systems the effect of flexibility on the control system behaviour can be substantially reduced by proper selection of the control system frequency.

scholarly journals Dynamic Analysis and Experiment of 6-DOF Compliant Platform Based on Bridge-Type Amplifier

Micromachines ◽  
2020 ◽  
Vol 11 (11) ◽  
pp. 1024
Author(s):  
Chao Lin ◽  
Shan Zheng ◽  
Mingdong Jiang
Keyword(s):  
Dynamic Model ◽  
Natural Frequency ◽  
Theoretical Calculations ◽  
Lagrange Equation ◽  
Damping Ratio ◽  
Elastic Beam ◽  
Analytical Models ◽  
Step Response ◽  
Element Analysis ◽  
Bridge Type

In this paper, we establish a dynamic model of a six-degrees-of-freedom (6-DOF) compliant positioning platform based on bridge-type amplifiers. Based on the elastic beam theory and energy relationship, we derived the bridge-type amplifier’s dynamic model using the Lagrange equation. Then, we established a dynamic model of the compliant platform based on the equivalent mass and equivalent stiffness of the bridge-type amplifier, and the analysis formula of the natural frequency was derived. Finally, the analytical models of natural frequencies of the bridge-type amplifier and the compliant platforms were verified using the finite element analysis (FEA) method. Through modal experiments, the damping ratio and natural frequency were identified. Step response experiments in the X/Y direction and Z direction were performed. The phenomenon that the experimental results appeared to match the theoretical calculations indicates that the dynamic model was accurate.

Analysis and Simulation Methods of the Mechanisms for the Innovational Development

2019 ◽  
pp. 16-33
Author(s):  
Marta K. Isaeva
Keyword(s):  
Production Systems ◽  
Technological Development ◽  
Computer Experiment ◽  
Simulation Models ◽  
Construction Simulation ◽  
Technological Structure ◽  
Research Sector ◽  
Practical Trial ◽  
Construction Model ◽  
Computation Analysis

The paper dedicates in commemoration of K.A. Bagrinovsky, known scientist, doctor of economic sciences, professor. His thesis was theoretic problems of mathematical modeling and operation of economy. His works in the operations research, the methods making decision, the simulation were received in scientific world. The analysis and the modeling of the mechanisms for scientific and technological development for the production systems of different level in economic hierarchic both centrally controlled economy and making mechanism were conduced by Bagrinovsky in CEMI RAS. The paper presents the investigations (2001–2015) of the analysis and the simulation of the different mechanisms of the innovational activity. It also discusses the methods of the development the complex of the simulation models. In a sense simulation modeling is the science and the art as the selection of the salient parameters for the construction model, intake simplification, the computer experiment and the making decision based on scarcity of accuracy models rest on the heuristic power of men: the practical trial, the intelligence and the intuition. K.A. Bagrinovsky introduced the considerable endowment in the development of this direction for economic and mathematical investigation.The principal object was to show that the relationship between the innovational policy and the technological structure, scientific research sector and the introducing of the progressive production and the organizational structure is obtainable by the models. The character of these relationships may be to use in control of the parameters for the modernization economic. The construction simulation models and the experimental computation analysis were presented the investigations the different mechanisms of the innovational development ant the variants of the estimation have been accomplished on the modeling level by the computer experiment.

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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