# Engineering Vibration Analysis: Worked Problems 2 (foundations Of Engineering Mechanics)

by Valery A. Svetlitsky /
2010 / English / PDF

5 MB Download

Constantly increasing attention is paid in the course 'Vibration
'Theory' to vibration of mechanical systems with distributed
parameters, since the real elements of machines, devices, and
constructions are made of materials that are not perfectly rigid.
'Therefore, vibrations of the objects including, for ex ample, rod
elastic elements excite the vibrations of these elements, which can
produce a substantial effect on dynamic characteristics of moving
objects and on readings of instruments. For a mechanical engineer
working in the field of design of new technolo gies the principal
thing is his know-how in developing the sophisticated math
ematical models in which all specific features of operation of the
objects under design in real conditions are meticulously taken into
account. So, the main emphasis in this book is made on the methods
of derivation of equations and on the algorithms of solving them
(exactly or approximately) taking into con sideration all features
of actual behavior of the forces acting upon elastic rod elements.
'The eigen value and eigen vector problems are considered at
vibrations of curvilinear rods (including the rods with
concentrated masses). Also consid ered are the problems with
forced vibrations. When investigating into these problems an
approximate method of numerical solution of the systems of lin ear
differential equations in partial derivatives is described, which
uses the principle of virtual displacements. Some problems are more
complicated than others and can be used for practical works of
students and their graduation theses.

Constantly increasing attention is paid in the course 'Vibration
'Theory' to vibration of mechanical systems with distributed
parameters, since the real elements of machines, devices, and
constructions are made of materials that are not perfectly rigid.
'Therefore, vibrations of the objects including, for ex ample, rod
elastic elements excite the vibrations of these elements, which can
produce a substantial effect on dynamic characteristics of moving
objects and on readings of instruments. For a mechanical engineer
working in the field of design of new technolo gies the principal
thing is his know-how in developing the sophisticated math
ematical models in which all specific features of operation of the
objects under design in real conditions are meticulously taken into
account. So, the main emphasis in this book is made on the methods
of derivation of equations and on the algorithms of solving them
(exactly or approximately) taking into con sideration all features
of actual behavior of the forces acting upon elastic rod elements.
'The eigen value and eigen vector problems are considered at
vibrations of curvilinear rods (including the rods with
concentrated masses). Also consid ered are the problems with
forced vibrations. When investigating into these problems an
approximate method of numerical solution of the systems of lin ear
differential equations in partial derivatives is described, which
uses the principle of virtual displacements. Some problems are more
complicated than others and can be used for practical works of
students and their graduation theses.