scholarly journals Static stiffness modeling and sensitivity analysis for geared system used for rotary feeding

2013 ◽  
Vol 228 (8) ◽  
pp. 1431-1443 ◽  
Author(s):  
Lin Han ◽  
Dawei Zhang ◽  
Yanling Tian ◽  
Fujun Wang ◽  
Hui Xiao
Keyword(s):  
Sensitivity Analysis ◽  
Transmission System ◽  
Torsional Stiffness ◽  
Design Parameters ◽  
Mechanical Transmission ◽  
Static Stiffness ◽  
Feed System ◽  
Stiffness Model ◽  
The Individual ◽  
Torsional Angles

The positioning accuracy of rotary feed system under load greatly depends on the static stiffness of mechanical transmission system. This paper proposes a unified static stiffness model of rotary feed system with geared transmission system. Taking the torsional stiffness of transmission shaft and mesh stiffness of gear pairs into account, the motion equations of the whole transmission system are presented. Based on the static equilibrium, a unified expression for the relationship between torsional angles of two adjacent elements is derived. Then a unified static stiffness model is presented. Furthermore, analytical expressions for sensitivity analysis of the static stiffness on the individual element’s stiffness and design parameters are derived. The presented model is verified by a traditional model, and a good agreement is obtained. The influence of phase angle of meshing gear pairs on the resultant static stiffness is investigated. An example transmission system is employed to perform the sensitivity analysis and the results are analyzed. The proposed model provides an essential tool for the design of rotary feed system satisfying requirement of static stiffness.

Stiffness Modeling and Sensitivity Analysis for Worm Geared Transmission

2014 ◽  
Vol 989-994 ◽  
pp. 3328-3330
Author(s):  
Lin Han ◽  
Hou Jun Qi
Keyword(s):  
Sensitivity Analysis ◽  
Machine Tools ◽  
Torsional Stiffness ◽  
Axial Stiffness ◽  
Static Stiffness ◽  
Meshing Stiffness ◽  
Stiffness Modeling ◽  
Transmission Chain ◽  
Stiffness Model ◽  
Simulation Results

The worm geared transmission chain is widely employed in rotary feeding table of machine tools. This article proposes a static stiffness model and conducts sensitivity analysis of the transmission chain. Firstly, a unified static stiffness model is established, considering meshing stiffness, torsional stiffness and pre-load related axial stiffness of worm shaft. Then sensitivity with respect to individual stiffness element is derived based on partially differentiating method. Simulation results show that the closer to the end gear pair or shaft is, the more sensitive meshing stiffness or torsional stiffness is.

scholarly journals Analysis of Free Vibration of Hydraulic Opposing Cylinder Controlled by Servo Valve

2021 ◽  
Author(s):  
Xiaoming Yuan ◽  
Weiqi Wang ◽  
Xuan Zhu ◽  
Bing Du ◽  
Lijie Zhang
Keyword(s):  
Free Vibration ◽  
Natural Frequency ◽  
Natural Frequencies ◽  
Transmission System ◽  
Normal Operation ◽  
Design Parameters ◽  
Analytical Relationship ◽  
Parameter Method ◽  
Mechanical Transmission ◽  
Servo Valve

Abstract The fluid transmission medium has large compressibility and low rigidity, and its physical properties are extremely sensitive to state parameters such as flow, pressure and temperature. Therefore, compared with the mechanical transmission system, the natural frequency of the fluid transmission system is relatively low and has time-varying characteristics. After a wide frequency range changing of the load frequency and long-term operation, the excitation frequency of the fluid transmission system is more likely to approach its natural frequency and causes resonance, which seriously affects the normal operation of the system. Therefore, taking the hydraulic opposing cylinder controlled by servo valve as the research object, based on the analytical relationship between the dynamic bulk modulus and the equivalent stiffness of oil, the vibration dynamics models and equations of the system is established by using the lumped parameter method. Through the free vibration analysis, the natural frequencies and main vibration modes of the system are determined and the sensitivity changes of the natural frequencies to the design parameters are revealed. The maximum error between the theoretical modal frequency and the experimental one is 3.77%, which verifies the correctness of the dynamic model of the system. This research can provide a theoretical reference for the optimization of the dynamic performance of the hydraulic transmission system.

The Sensitivity Analysis of Engine Mounting System’s Inertial Parameters Based on the Orthogonal Test

2011 ◽  
Vol 338 ◽  
pp. 440-445
Author(s):  
Fang Hua Lei ◽  
Ning Sun ◽  
Wei Lin Tang
Keyword(s):  
Mathematical Model ◽  
Sensitivity Analysis ◽  
Orthogonal Test ◽  
Vibration Characteristics ◽  
Design Parameters ◽  
Quality Level ◽  
Test Plan ◽  
Inertial Parameters ◽  
Engine Mount ◽  
The Individual

This paper analyze the variation of the inertial parameters of the powertrain based on the orthogonal test, and their effect on the vibration characteristics of the system. Then the paper designs a test plan of the two levels orthogonal test with 6 facts by establishing a mathematical model of 6-dof in engine-mount system. We spend 8 times having done the orthogonal computation with MATLAB. The experiment results bring us the average of the changes of two levels decoupling owned by the mounting system's 6 rank inherent characteristics on each direction .And this changes are caused by the fluctuating of inertial parameters. Finally, we analyze the variation of the rotational inertial and the inertial integrated parameters, and their influence on the quality level of the sensitivity on the all decoupling parameters in engine-mounting system on each direction. Combined with the calculation examples in the thesis, we discuss the individual inertial parameters of the engine-mounting system ，which is the crucial design parameters of sensitivity analysis, and have provided a parameter basis for the design of engine-mounting system.

The Analysis of Static and Dynamic Characteristics of Motorized High-Speed Spindle Based on Sensitivity Analysis of FEM Model

2010 ◽  
Vol 43 ◽  
pp. 376-381
Author(s):  
Song Mei Yuan ◽  
Mao Bin Lv ◽  
Xue Hao Liu
Keyword(s):  
Sensitivity Analysis ◽  
Objective Function ◽  
Natural Frequency ◽  
Dynamic Characteristics ◽  
High Speed ◽  
Design Sensitivity ◽  
Design Parameters ◽  
Static Stiffness ◽  
Fem Model ◽  
Static And Dynamic Characteristics

In order to estimate the static and dynamic characteristics of motorized high-speed spindle, the full parameterized FEM model of it is established and studied in the paper. After the FEM analysis of the spindle, the static stiffness, natural frequency and normal modes of vibration are obtained. Then, a design sensitivity analysis of some design parameters is conducted based on the finite element model to investigate their influence on the static stiffness and natural frequency of the spindle system. Through the sensitivity analysis, the optimal plan is proposed, the first natural frequency as the first objective function of optimization and the static stiffness as the second, which changes the objective function of multivariable into that of a single one. Therefore, it considerably increases the efficiency of optimization. The optimization leads to a noticeable improvement of static stiffness and first-mode natural frequency.

A realistic model for transverse shear stiffness prediction of composite corrugated-core sandwich structure with bonding effect

2021 ◽  
pp. 109963622199386
Author(s):  
Tianshu Wang ◽  
Licheng Guo
Keyword(s):  
Present Model ◽  
Shear Stiffness ◽  
Realistic Model ◽  
Torsional Stiffness ◽  
Fem Model ◽  
The Core ◽  
Bonding Effect ◽  
Stiffness Model ◽  
Bonding Area ◽  
The Relationship

In this paper, a shear stiffness model for corrugated-core sandwich structures is proposed. The bonding area is discussed independently. The core is thought to be hinged on the skins with torsional stiffness. The analytical model was verified by FEM solution. Compared with the previous studies, the new model can predict the valley point of the shear stiffness at which the relationship between the shear stiffness and the angle of the core changes from negative correlation to positive correlation. The valley point increases when the core becomes stronger. For the structure with a angle of the core smaller than counterpart for the valley point, the existing analytical formulations may significantly underestimate the shear stiffness of the structure with strong skins. The results obtained by some previous models may be only 10 persent of that of the present model, which is supported by the FEM model.

scholarly journals Barrier-Free Wheelchair with a Mechanical Transmission

2021 ◽  
Vol 11 (11) ◽  
pp. 5280
Author(s):  
Jongseok Lee ◽  
Wonhyeong Jeong ◽  
Jaeoh Han ◽  
Taesu Kim ◽  
Sehoon Oh
Keyword(s):  
The Elderly ◽  
Transmission System ◽  
Motor Drives ◽  
Mechanical Transmission ◽  
Link Structure ◽  
Second Mode ◽  
Important Means ◽  
The Stability ◽  
Flat Ground ◽  
Climbing Stairs

Wheelchairs are an important means of transportation for the elderly and disabled. However, the movement of wheelchairs on long curbs and stairs is restricted. In this study, a wheelchair for climbing stairs was developed based on a mechanical transmission system that rotates the entire driving part through a link structure and an actuator to change the speed. The first mode drives the caterpillar, and the second mode drives the wheels. When driving on flat ground, it uses landing gears and wheels, and when climbing stairs, it uses the caterpillar; accordingly, a stable driving is possible. The stability of the transmission is confirmed through stress analysis. The method used in our study makes it is possible to manufacture lightweight wheelchairs because a single motor drives both the wheel and caterpillar through the transmission system.

scholarly journals CONCEPTUAL DESIGN FOR ASSEMBLY IN AEROSPACE INDUSTRY: SENSITIVITY ANALYSIS OF MATHEMATICAL FRAMEWORK AND DESIGN PARAMETERS

2021 ◽  
Vol 1 ◽  
pp. 731-740
Author(s):  
Giovanni Formentini ◽  
Claudio Favi ◽  
Claude Cuiller ◽  
Pierre-Eric Dereux ◽  
Francois Bouissiere ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Conceptual Design ◽  
Design Parameters ◽  
Design For Assembly ◽  
Mathematical Framework ◽  
Commercial Aircraft ◽  
System Architectures ◽  
Complex Engineering ◽  
Aircraft System ◽  
Definition Of

AbstractOne of the most challenging activity in the engineering design process is the definition of a framework (model and parameters) for the characterization of specific processes such as installation and assembly. Aircraft system architectures are complex structures used to understand relation among elements (modules) inside an aircraft and its evaluation is one of the first activity since the conceptual design. The assessment of aircraft architectures, from the assembly perspective, requires parameter identification as well as the definition of the overall analysis framework (i.e., mathematical models, equations).The paper aims at the analysis of a mathematical framework (structure, equations and parameters) developed to assess the fit for assembly performances of aircraft system architectures by the mean of sensitivity analysis (One-Factor-At-Time method). The sensitivity analysis was performed on a complex engineering framework, i.e. the Conceptual Design for Assembly (CDfA) methodology, which is characterized by level, domains and attributes (parameters). A commercial aircraft cabin system was used as a case study to understand the use of different mathematical operators as well as the way to cluster attributes.

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