STUDY OF KINEMATICS OF MULTI-ROPE HOISTING MACHINERY STATICALLY, BALANCED USING SOLIDWORKS ® Florin D. Popescu 1 , Marin S. Nan 2 , Sorin M. Radu 3 , Tutuianu Gabriel 4 1 Associate Professor, 2 Professor, 3 Professor, 4 PhD Student 1, 2, 3, 4 University of Petroşani, Romania ABSTRACT The study of kinematics of hoisting machines is highly important, considering that they ensure the link between surface and underground mine in terms of transportation of useful mineral substances and personnel. In this context, special functional requirements are demanded in order to avoid the damage brought upon both goods and human. In the first part of the present study, several types of tachogram for hoisting machines are presented. Their curves are determined by type of actuation. In the second part, starting from the acceleration variation, it is shown a numerical method for the curves provided by tracing, using software program SolidWorks ® . 1. INTRODUCTION The operation of hoisting machinery has a cyclical nature. The tachogram curves and the stage have direct influence upon the absolute value of the actuation force, electrical and mechanical loss in various sub-assemblies, absorbed energy, global efficiency of the installation, as well as its productivity. The effective curves of a tachogram is mainly determined by the actual distance of the transportation process, aspect that directly influences both the number of stages and the maximum transportation velocity. The hoisting machinery actuation mode influences – as we are going to see later on – the tachogram rate. The technological conditions, as well as the operation safety ones, influence the number of stages and the speed and acceleration limitations all along the tachogram. The actual tachogram tracing is performed starting from the acceleration variation, which is determined by the machinery actuation mode. Knowing that velocity is the integral of acceleration with respect to time, the velocity variation mode is subsequently determined on various intervals of a hoisting cycle. Finally, knowing that covered distance is the integral of velocity in relation with time, the distances corresponding to the stages of a transportation cycle can be determined. 2. ANALYTICAL TACHOGRAM TRACING The curves of transportation velocity is mainly determined by the hoisting machinery actuation mode. Within the present section, we will present the case studies of hoisting machines actuated by asynchronous and direct current engine. MultiScience - XXX. microCAD International Multidisciplinary Scientific Conference University of Miskolc, Hungary, 21-22 April 2016, ISBN 978-963-358-113-1 DOI: 10.26649/musci.2016.112