The Mathematical Model of Crane Hoisting Mechanism

2013 ◽  
Vol 477-478 ◽  
pp. 315-320 ◽  
Author(s):  
Wei He ◽  
Zhe Kun Li ◽  
Zhen Yu Wang ◽  
An Liu
Keyword(s):  
Mathematical Model ◽  
Theoretical Basis ◽  
Theoretical Method ◽  
Virtual Prototype ◽  
Damping Coefficient ◽  
Stiffness Coefficient ◽  
Contact Type ◽  
Resistance Torque ◽  
Virtual Prototype Technology ◽  
The Mathematical Model

Established the mathematical model of hoisting mechanism based on the theory of vibration, through experimental and theoretical method obtained system stiffness coefficient, damping coefficient, finally calculated reel resistance torque. According to the mathematical model, the hoisting mechanism is simulated and analyzed by using virtual prototype technology, it provide a theoretical basis for design of non-contact type weighing sensor.

scholarly journals Study on the Mathematical Model of Vacuum Breaker Valve for Large Air Mass Conditions

Water ◽  
2019 ◽  
Vol 11 (7) ◽  
pp. 1358
Author(s):  
Zhang ◽  
Fan ◽  
Yu ◽  
Zhang ◽  
Lv ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Theoretical Basis ◽  
Isothermal Process ◽  
Air Mass ◽  
Protection Scheme ◽  
Calculation Results ◽  
Air Valve ◽  
The Mathematical Model ◽  
Valve Model ◽  
Derivation Process

The mathematical model of vacuum breaker valve is significant to the protection scheme. The more accurate the vacuum breaker valve model, the more reliable the calculation results. In this study, the application conditions of the air valve model are analyzed according to the assumptions used in the derivation, and the contradictions between these assumptions are proposed. Then, according to the different working characteristics between the vacuum breaker valve on the siphon outlet pipe and the air valve, the vacuum breaker valve model is deduced based on the modified assumptions. In the derivation process, the thermodynamic change of the gas in the vacuum breaker valve is assumed to follow the isentropic process rather than an isothermal process, and the water level in the vacuum breaker valve is considered to be changeable. An engineering case is introduced, and the results calculated according to the vacuum breaker valve model are compared with those resulting from the air valve model. The results indicate that the vacuum breaker valve model is suitable for large air mass conditions and can provide a theoretical basis for the numerical simulation and settings of vacuum breaker valves.

scholarly journals Research on Mathematical Model for Non-Uniformly Qualitative Suspension Cable

2018 ◽  
Vol 175 ◽  
pp. 03039
Author(s):  
Hu Yong ◽  
Du Yuxin ◽  
Cao Yong ◽  
Wang MaoSen ◽  
Ma Yuchi ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Perturbation Method ◽  
Radio Telescope ◽  
Theoretical Basis ◽  
Transcendental Function ◽  
Concentrated Loads ◽  
Real Situation ◽  
The Real ◽  
Suspension Cable ◽  
The Mathematical Model

Catenary theory is recognized as the most effective suspension theory which can reflect the real situation of suspension. Catenary equation belongs to transcendental function, so there are some difficulties in calculation and application. Parabola theory, suspension curve theory and perturbation method are gradually formed as the theoretical basis for the study of suspension cables. This paper takes the 500m spherical radio telescope project as the background. The modeling method of suspension cable under multiple concentrated loads is analyzed, and the mathematical model of supporting cable after load is derived. The research in this paper provides a reference for the establishment of mathematical model of suspension cable in practice.

Research on the Mathematical Model of the Plastic Profile Cooling Analysis

2012 ◽  
Vol 164 ◽  
pp. 214-217
Author(s):  
Xiang Shan Huang ◽  
Li Dan Chen
Keyword(s):  
Heat Transfer ◽  
Mathematical Model ◽  
Thermal Analysis ◽  
Reynolds Number ◽  
Theoretical Basis ◽  
Flow State ◽  
Function Blocks ◽  
Plastic Profile ◽  
The Mathematical Model ◽  
Fluid Parameters

According to the assumption of the plastic profile cooling analysis, Prandtl number Pr and Reynolds number Re can be derived from the fluid parameters. The paper judge and analyze the movement of flow state, further study the formula of heat transfer coefficient α, thermal analysis and boundary conditions in Reynolds number Re. The experimental results show mathematical model, which provides a theoretical basis for the cooling and forming of function blocks, it has certain guiding significance.

Research and Design of Pneumatic AMT Actuator

2011 ◽  
Vol 52-54 ◽  
pp. 318-323
Author(s):  
Jian Zhong Wang ◽  
Liang Chu ◽  
Xin Tian Lu
Keyword(s):  
Mathematical Model ◽  
Dynamic Model ◽  
Theoretical Basis ◽  
Structure Characteristics ◽  
Design Scheme ◽  
Heavy Truck ◽  
The Mathematical Model ◽  
Research And Design

According to the design requests of certain heavy truck, this paper introduces a design scheme of pneumatic AMT automatic shift system, which focuses on the structure characteristics and working principles of the three-position cylinder controlled by two solenoid valves. And the mathematical model of the three-position cylinder controlled by two solenoid valves is established based on pneumatic principle. The dynamic model of this mechanism was built by AMEsim software. The variety of pressure and stroke of intake/exhaust chamber was simulated under different air pressures. The theoretical basis is provided to design the AMT election-shift actuator.

scholarly journals MATHEMATICAL MODEL OF ESTIMATION THE DYNAMIC PARAMETERS OF MACHINE AND TRACTOR UNIT’S ENGINE UNDER UNSTEAD LOAD

2019 ◽  
Vol 14 (2) ◽  
pp. 106-110 ◽  
Author(s):  
Владимир Медведев ◽  
Vladimir Medvedev ◽  
Станислав Синицкий ◽  
Stanislav Sinickiy
Keyword(s):  
Mathematical Model ◽  
Dynamic Characteristics ◽  
Theoretical Basis ◽  
Theoretical Calculations ◽  
Dynamic Performance ◽  
Transition Process ◽  
Theoretical Studies ◽  
The Mathematical Model ◽  
Regulatory Characteristic ◽  
The Ideal

The article provides an analysis of the existing methods and techniques for assessing the dynamic characteristics of engines of mobile machines, and also presents theoretical calculations for estimating the dynamic performance of an machine and tractor unit’s engine under unsteady load. The proposed mathematical model describes the change in the performance of the engine of machine and tractor unit with a linear law of loading and allows you to compare an engine’s operation at unsteady load with the ideal. The quasi-dynamic characteristic was laid as the theoretical basis for study to assess the dynamic performance of machine and tractor unit’s engine under unsteady load. Comparison of the dynamic performance of engines at unsteady load with ideal performance, which have no dynamic losses. It is proposed to apply the “quasi-dynamic” characteristics. The quasidynamic (ideal) characteristic is called - the change in the performance of machine and tractor unit’s engine, in the transition process, occurring in accordance with the change in the frequency of rotation of the crankshaft on the stationary characteristics. The mathematical model for estimating the dynamic performance of an machine and tractor unit’s engine using a correcting branch with an unsteady load is experimental equations for load buildup. Theoretical relationships have been developed for evaluating the dynamic performance of an engine with an unsteady load on the correcting branch of the regulatory characteristic. Using the proposed theoretical dependences, it is possible to carry out theoretical studies of the effect of load on the dynamic performance of an machine and tractor unit’s engine and determine the total dynamic losses.

Analysis of Mechanical Error’s Effect on the Measurement Accuracy of the Six-Axis Force Sensor

2014 ◽  
Vol 627 ◽  
pp. 177-181
Author(s):  
Ru Nan Liang
Keyword(s):  
Mathematical Model ◽  
Monte Carlo ◽  
Theoretical Basis ◽  
Measurement Accuracy ◽  
Force Sensor ◽  
Stewart Platform ◽  
System Structure ◽  
The Monte Carlo Method ◽  
Six Degree Of Freedom ◽  
The Mathematical Model

Force sensor based on the six degree of freedom (6-DoF) Stewart platform is universal for wide applications. Mechanism errors are significant for its measuring accuracy. However, because of the multi-variables and the complicated forms, it is difficult to solve the expression directly. The Monte Carlo method is proposed based on the analysis of the system structure and the mathematical model. The effect of mechanism errors on the measurement accuracy was assessed. With this method, a complex accuracy expression of the sensor could be avoided. It also provided a theoretical basis for designing the sensor of the Stewart platform.

Optimal Control for Wheeled Inverted Pendulum Based on Collaborative Simulation

2014 ◽  
Vol 556-562 ◽  
pp. 2444-2447
Author(s):  
Xiang Shi ◽  
Zhe Xu ◽  
Ka Tian ◽  
Qing Yi He
Keyword(s):  
Mathematical Model ◽  
Optimal Control ◽  
Nonlinear System ◽  
Inverted Pendulum ◽  
Virtual Prototype ◽  
Prototype Model ◽  
Control Law ◽  
Collaborative Simulation ◽  
Wheeled Inverted Pendulum ◽  
The Mathematical Model

To control wheeled inverted pendulum is a good way to test all kinds of theories of control. The optimal control based on MATLAB is used to control wheeled inverted pendulum, and the control law is designed, and its feasibility is verified. However the mathematical model of the wheeled inverted pendulum is linearized and inverted pendulum is a high-order nonlinear system, both of them exist errors. Then the collaborative simulation of MATLAB and ADAMS is also used to control wheeled inverted pendulum, in which wheeled inverted pendulum is built up to virtual prototype model in ADAMS based on virtual prototype technology, and the control law designed from simulation of MATLAB is consulted. At last the results of simulation demonstrate the correctness of optimal control of wheeled inverted pendulum, and it also indicates the way is worth advocating in the study.

scholarly journals Mathematical Model for Charpy Impact Energy of V-Notch Specimens

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Wei Wang ◽  
Ping Wang ◽  
Xuesong Liu ◽  
Zhibo Dong ◽  
Hongyuan Fang
Keyword(s):  
Mathematical Model ◽  
Impact Energy ◽  
Material Properties ◽  
Theoretical Basis ◽  
Impact Resistance ◽  
Charpy Impact ◽  
The Impact ◽  
The Mathematical Model ◽  
The Relationship ◽  
Derivation Process

Firstly, by analyzing the response of Charpy V-notch specimen impacted by pendulum, the relationship between specimen geometry, material properties, and impact energy is established and simplified, and the mathematical model for evaluating impact energy of specimens with different sizes is established. Then, the effectiveness of the model through a series of impact tests is verified. Theoretical analysis and experimental results show that the relationship between ligament length and impact energy is quadratic, while the relationship between ligament thickness and impact energy is linear. In the derivation process, the intrinsic impact toughness is used to evaluate the toughness of materials. The mathematical model makes it possible to evaluate the impact energy of specimens with different sizes and provides a theoretical basis for evaluating the impact resistance of structures.

scholarly journals Mathematical modeling and experiment for hydraulic ejecting system of ceramic brick press

2021 ◽  
Vol 2079 (1) ◽  
pp. 012026
Author(s):  
HongBo Zheng ◽  
MingJun Li ◽  
QingQing Bian
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Theoretical Basis ◽  
Hydraulic System ◽  
Experimental Results ◽  
Ceramic Brick ◽  
Working Principle ◽  
The Mathematical Model

Abstract Taking the ejecting system of hydraulic system of 7200t ceramic brick press as the research object, the basic constitution and working principle of the hydraulic ejecting system are described, and its mathematical model is established and calculated. In order to verify the accuracy of the mathematical model, the experiment was carried out, and the experimental results were compared with the calculated according to the mathematical model. The two results were basically consistent, indicating that the mathematical model is accurate, and providing a theoretical basis for further research on the ceramic brick press.

Processing of Lapping Track in Dual Rotated Plates Eccentric Lapping Mode

2011 ◽  
Vol 487 ◽  
pp. 248-252 ◽  
Author(s):  
Wei Yu ◽  
Dun Liu ◽  
Ju Long Yuan ◽  
Qian Fa Deng ◽  
Wei Feng Yao ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
High Precision ◽  
Theoretical Basis ◽  
Mechanical Systems ◽  
Virtual Prototype ◽  
Ceramic Ball ◽  
Important Target ◽  
Ball Surface ◽  
Virtual Prototype Technology ◽  
And Control

Dual Rotated Plates (DRP) eccentric lapping mode is developed on the base of traditional eccentric lapping mode for precise balls. Spin angle is an important target of expressing ball rotation in the lapping process. Whether lapping track can uniformly cover the ball surface or not is directly determined by the variation of the spin angle. Applying virtual prototype technology and ADAMS (Automatic Dynamic Analysis of Mechanical Systems) to simulate the ceramic ball lapping track in DRP eccentric lapping mode. And these results are compared to traditional one. At the same condition, the DRP eccentric lapping mode owns better lapping uniformity than traditional one and it is easy to apply to science for the simplicity of structure and control. The result may offer theoretical basis for high-precision ceramic balls machining.

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