Principles of Planar Mechanical System Modeling

1991 ◽  
pp. 79-132
Author(s):  
François E. Cellier
Author(s):  
J. Y. Wang ◽  
J. K. Wu

Abstract This paper presents an interactive engineering environment for dextrous workspace analysis of manipulators. The environment contains a mechanical system modeling tool, an automatic differentiation package, and numerical solvers that map one-dimensional and two-dimensional solution sets of nonlinear parametrized kinematic constraint equations. Row-rank deficiency of constraint sub-Jacobian matrices is used as a necessary condition for characterizing the boundaries of the workspaces and dextrous workspaces of manipulators. A cursor driven animation capability, developed in an interactive graphics environment allows the user to retrieve system configurations by dragging the cursor along solution branches. An animation of the assembled configuration along that solution branch is then displayed. Thus, a better understanding of the kinematic behavior of mechanical systems that limits their dexterity can be obtained. A construction backhoe mechanical system is used to demonstrate the capability of the method developed.


2019 ◽  
Vol 1 (1) ◽  
pp. 183-189
Author(s):  
Bidya Nur Habib ◽  
Agung Prijo Budijono

Designing an electric car to compete with ESCC should be guided by Vehicle Construction and Stability. One of the areas to consider when designing at the research and development stage is the Mechanical Mechanical System (Rotational Mechanical System). These systems include, wheels, transmissions (gear connections), electric motor rotors and shafts. The purpose of this study was to determine the effect of vehicle energy management on driver driving strategies during the ESCC competition. This is based on Wheel Mechanical System modeling, Dynamic System Analysis and Free Body Diagram. The method used is based on Numerical Simulation. The data parameters used are based on independent variables and control variables. The independent variable of this study is the angular velocity (Vω), linear velocity (v) of the vehicle, friction coefficient value (B), shaft stiffness (K), wheel diameter, gear diameter, wheel mass and moment inertia of the wheel. Control variables is technical regulation of ESCC Urban Concept. This Numerical Simulation Test is to determine the required electrical power, travel time and distance of the vehicle. The results showed that the energy needed by GARNESA electric car  with an average speed selection of 9.42 m /s based on a maximum speed of 10.15 m /s and a minimum speed of 8.70 m /s requires the amount of power 248.15 Watt. Travel time is 180 seconds in one lap. The distance obtained is 1357 m. Driving strategy based on average speed of 9.42 m /s consumes less power and the distance obtained will be more far.


Author(s):  
Giuseppe Catania ◽  
Giovanni Naldi

Mechanical system modeling and simulation of its dynamic behaviour is a commonly required task in many industrial fields. Fluid transmissions are frequently employed in some applications, and some standard techniques are known to obtain a consistent dynamic model of a fluid line, including the contribution of inertia, compressibility and friction. When fast transient phenomena are to be studied, the full mechanical system including structural and fluid components should be modeled in advance, so that the system designer can avoid a possible critical behaviour. In this work, full fluid piping modeling is first investigated by means of one- and bi-dimensional approaches. It can be shown that a secondary effect, such as laminar flow frequency dependent friction, may consistently improve the accuracy of the simulated line response. The analytical coupling between the discrete model of mechanical substructures, elastically and fluid coupled by a secondary fluid continuous subsystem, is investigated. The formulation of a non standard eigenproblem is proposed to obtain the main full dynamical system properties, such as eigenvalues and shapes. A numerical application example is reported, and results are discussed in detail.


Author(s):  
S. R. Rakhmanov ◽  
V. V. Povorotnii

To form a necessary geometry of a hollow billet to be rolled at a pipe rolling line, stable dynamics of the base equipment of the automatic mill working stand has a practical meaning. Among the forces, acting on its parts and elements, significant by value short-time dynamic loads are the least studied phenomena. These dynamic loads arise during transient interaction of the hollow billet, rollers, mandrel and other mill parts at the forced grip of the hollow billet. Basing of the calculation scheme and dynamic model of the mechanical system of the ТПА 350 automatic mill working stand was accomplished. A mathematical model of dynamics of the system “hollow billet (pipe) – working stand” within accepted calculation scheme and dynamic model of the mechanical system elaborated. Influence of technological load of the rolled hollow billet variation in time was accounted, as well as variation of the mechanical system mass, and rigidity of the ТПА 350 automatic mill working stand. Differential equations of oscillation movement for four-mass model of forked sub-systems of the automatic mill working stand were made up, results of their digital calculation quoted. Dynamic displacement of the stand elements in the inter-roller gap obtained, which enabled to estimate the results of amplitude and frequency characteristics of the branches of the mill rollers setting. It was defined by calculation, that the maximum amplitude of the forced oscillations of elements of the ТПА 350 automatic mill working stand within the inter-roller gap does not exceed 2 mm. It is much higher than the accepted value of adjusting parameters of the deformation center of the ТПА 350 automatic mill. A scheme of comprehensive modernization of the rollers setting in the ТПА 350 automatic mill working stand was proposed. It was shown, that increase of rigidity of rollers setting in the ТПА 350 automatic mill working stand enables to stabilize the amplitude of forced oscillations of the working stand elements within the inter-rollers gap and considerably decrease the induced nonuniform hollow billet wall thickness and increase quality of the rolled pipes at ТПА 350.


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