Mathematical modeling and modal analysis about double-circular-arc modified cycloid gears based on UG

2011 ◽  
Author(s):  
Jianing He ◽  
Wei Zhang ◽  
Rong Tan ◽  
Qiang Li ◽  
Yong Gao
Keyword(s):  
Mathematical Modeling ◽  
Modal Analysis ◽  
Circular Arc

Some Remarks on the Identification of Damping Parameters at the Boundary of Vibrating Systems

1995 ◽  
Vol 48 (11S) ◽  
pp. S107-S110
Author(s):  
Peter Hagedorn ◽  
Ulrich Pabst
Keyword(s):  
Mathematical Modeling ◽  
Modal Analysis ◽  
Mechanical Systems ◽  
Experimental Modal Analysis ◽  
Steel Beam ◽  
Modal Data ◽  
Stiffness And Damping ◽  
Parameter Values ◽  
Vibrating Systems

In many cases, vibrating mechanical systems permit a reliable mathematical modeling with parameter values which are reasonably well known beforehand, except for the joints between different subsystems and at the boundaries. The boundary stiffness, which is often assumed as infinite, and the damping at the boundary, which is frequently ignored, are typically not well known. In this note, we discuss the identification of the boundary stiffness and damping parameters from modal data. As an example, we treat an elastic steel beam, for which an experimental modal analysis had been carried out in our laboratory.

Mathematical Modeling and Simulation of the External and Internal Double Circular-Arc Spiral Bevel Gears for the Nutation Drive

2010 ◽  
Vol 132 (2) ◽  
Author(s):  
Ligang Yao ◽  
Bing Gu ◽  
Shujuan Haung ◽  
Guowu Wei ◽  
Jian S. Dai
Keyword(s):  
Mathematical Modeling ◽  
Numerical Control ◽  
Tooth Surface ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Nc Simulation ◽  
Helical Angle ◽  
Nc Milling ◽  
Spiral Bevel

The purpose of this paper is to propose a pair of external and internal spiral bevel gears with double circular-arc in the nutation drive. Based on the movement of nutation, this paper develops equations of the tooth profiles for the gear set, leading to the mathematical modeling of the spiral bevel gear with a constant helical angle gear alignment curve, enabling the tooth surface to be generated, and permitting the theoretical contacting lines to be produced in light of the meshing function. Simulation and verification are carried out to prove the mathematical equations. Numerical control (NC) simulation of machining the external and internal double circular-arc spiral bevel gears is developed, and the spiral gears were manufactured on a NC milling machine. The prototype of the nutation drive is illustrated in the case study at the end of this paper.

Modal Analysis for the Tower of Large Scale

2013 ◽  
Vol 299 ◽  
pp. 31-34
Author(s):  
Jie Zhou ◽  
Ji Sheng Ma ◽  
Hui Yong Deng ◽  
Mei Yin Zhang ◽  
Bao Jian Wu
Keyword(s):  
Mathematical Modeling ◽  
Finite Element ◽  
Optimal Design ◽  
Modeling And Simulation ◽  
Modal Analysis ◽  
Large Scale ◽  
Vibrational Mode ◽  
Dynamical Characteristic ◽  
Shell Elements ◽  
Multimodal Analysis

The rocket launch tower is a kind tower of large scale which is used in many important palces, in order to counter the tower faults problems such as leaning, bulking, etc.According to the theory of multimodal analysis, mathematical modeling and simulation of vibrational mode were conducted for the tower. The paper describes how the finite element modal for steel tower is built by means of beam and shell elements by Patran, and the analysis of the tower’s dynamical characteristic, bulking phenomenon employing commercial software Patran/Nastran,show that the results are closer to the test data,providing a basis for the tower optimal design.

Analysis and Design of Integrated Optimization of 1.5MW Wind Turbine Tower

2014 ◽  
Vol 971-973 ◽  
pp. 958-961
Author(s):  
Yong Zhi Xie ◽  
An Le Mu
Keyword(s):  
Mathematical Modeling ◽  
Wind Turbine ◽  
Modal Analysis ◽  
Static Analysis ◽  
Optimization Algorithm ◽  
Parametric Modeling ◽  
Analysis And Design ◽  
Wind Turbine Tower ◽  
Tower Structure ◽  
Ansys Workbench

This paper uses Isight_FD 5.6 to integrate UG8.0 parametric modeling, ANSYS Workbench static analysis, modal analysis, and mathematical modeling of design optimization, by means of optimization algorithm, to meet strength and the stiffness of the tower, to realize the optimization of tower structure, so as to attain the expected target which reduces the weight of tower.

scholarly journals Mathematical modeling of low-frequency diagnostic vibration-acoustic vibrations of linear-extended energy objects of housing and communal services

2020 ◽  
Vol 216 ◽  
pp. 01076
Author(s):  
V.E. Zakharova ◽  
S.O. Gaponenko ◽  
A.O. Fedotova
Keyword(s):  
Mathematical Modeling ◽  
Modal Analysis ◽  
Software Package ◽  
Lateral Pressure ◽  
Low Frequency ◽  
Acoustic Vibrations ◽  
Ansys Software ◽  
Natural Vibrations ◽  
Polyethylene Pipes

A modal analysis of natural vibrations of polyethylene pipelines is proposed, which is a calculation of the vertical and lateral pressure exerted by the soil on the pipelines, on the basis of which the study of vibrations in the ANSYS software package was carried out. The results of modal analysis are presented for polyethylene pipes with a layout with inclined walls and various soils.

Mathematical modeling of spinning elastic bodies for modal analysis.

AIAA Journal ◽  
1973 ◽  
Vol 11 (9) ◽  
pp. 1251-1258 ◽  
Author(s):  
PETER W. LIKINS ◽  
FRANK J. BARBERA ◽  
VICTOR BADDELEY
Keyword(s):  
Mathematical Modeling ◽  
Modal Analysis ◽  
Elastic Bodies

scholarly journals Dynamic modal analysis of double-sided meshing nutation drive with double circular arc spiral bevel gears

2020 ◽  
Vol 11 (1) ◽  
pp. 115-123
Author(s):  
Zheng Lin ◽  
Ligang Yao ◽  
Zhiyu Xie
Keyword(s):  
Modal Analysis ◽  
Natural Frequencies ◽  
Transmission Error ◽  
Drive System ◽  
Nonlinear Dynamic Model ◽  
Circular Arc ◽  
Spiral Bevel Gears ◽  
Bevel Gears ◽  
Meshing Stiffness ◽  
Spiral Bevel

Abstract. In order to reduce the vibration of the double-sided meshing nutation drive with double circular arc spiral bevel gears, the dynamic modal of the nutation system is analyzed. The bending-torsional-axial coupling nonlinear dynamic model of the double-sided meshing nutation drive system with time-varying meshing stiffness, meshing damping, transmission error and tooth backlash is established, and the equation of motion of the system is derived. The natural frequencies and corresponding modal modes of the nutation system are calculated, and the effects of the average meshing stiffness of gears and the bearing support stiffness of nutation gears on the modal of the system are analyzed. The modal analysis of double circular arc spiral bevel gears is carried out, and the ten order natural frequencies and their corresponding modes are obtained. The results show that the nutation drive system and the double circular arc spiral bevel gears do not resonate during transmission.

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