VIBRATIONS OF BEAMS WITH A VARIABLE CROSS-SECTION FIXED ON ROTATIONAL RIGID DISKS

Authors

  • SLAWOMIR JAN ZOLKIEWSKI SILESIAN UNIVERSITY OF TECHNOLOGY, DEPARTMENT OF ENGINEERING PROCESSES AUTOMATION AND INTEGRATED MANUFACTURING SYSTEMS, DIVISION OF MECHATRONICS AND DESIGNING OF TECHNICAL SYSTEMS, FACULTY OF MECHANICAL ENGINEERING, 18A KONARSKIEGO STREET, 44-100 GLIWICE,

Keywords:

BEAMS, VARIABLE CROSS-SECTION, ROTATION, BLADES, TRANSPORTATION

Abstract

IN THIS PAPER THE PROBLEM OF VIBRATING BEAMS WITH A VARIABLE CROSS-SECTION FIXED ON A ROTATIONAL RIGID DISK IS CONSIDERED. THE BEAM IS LOADED BY A TRANSVERSAL TIME VARYING FORCE ORTHOGONAL TO AN AXIS OF THE BEAM AND SIMULTANEOUSLY PARALLEL TO THE DISK’S PLANE. MANY TECHNICAL MOVEABLE SYSTEMS ARE MADE BY ELEMENTS WITH THE VARIABLE CROSS-SECTIONS, ESPECIALLY MANY TYPES OF TURBINES AND PUMPS. THIS PAPER IS AN INTRODUCTION TO THE DYNAMICAL ANALYSIS OF SUCH A TYPE BEAM SYSTEMS. THERE ARE DERIVED THE EQUATIONS OF MOTION OF ROTATIONAL BEAMS FIXED ON THE RIGID DISKS AND THERE IS ALSO CONSIDERED THE TRANSPORTATION EFFECT IN THE MATHEMATICAL MODEL BY INTRODUCING THE CORIOLIS FORCES AND THE CENTRIFUGAL FORCES. THERE ARE SOLVED SYSTEMS WITH THE LINEARLY VARIABLE CROSS-SECTIONS.

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Published

2012-11-22

Issue

Vol. 10 No. 1 (2013)

Section

Articles

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