# Engineering Vibration Analysis: Worked Problems 1 (foundations Of Engineering Mechanics)

by Valery A. Svetlitsky /
2010 / English / PDF

6.1 MB Download

Theory of vibrations belongs to principal subjects needed for
training mechani cal engineers in technological universities.
Therefore, the basic goal of the mono graph "Advanced Theory of
Vibrations 1" is to help students studying vibration theory for
gaining experience in application of this theory for solving
particular problems. Thus, while choosing the problems and methods
to solve them, the close attention was paid to the applied content
of vibration theory. The monograph is devoted to systems with a
single degree of freedom and sys tems with a finite number of
degrees of freedom. In particular, problems are for mulated
associated with determination of frequencies and forms of
vibrations, study of forced vibrations, analysis of both stable and
unstable vibrations (includ ing those caused by periodic but
anharmonic forces). The problems of nonlinear vibrations and of
vibration stability, and those related to seeking probabilistic
characteristics for solutions to these problems in the case of
random forces are also considered. Problems related to parametric
vibrations and statistical dynamics of mechanical systems, as well
as to determination of critical parameters and of dy namic
stability are also analyzed. As a rule, problems presented in the
monograph are associated with particular mechanical systems and can
be applied for current studies in vibration theory. Al lowing for
interests of students independently studying theory of vibrations,
the majority of problems are supplied with either detailed
solutions or algorithms of the solutions.

Theory of vibrations belongs to principal subjects needed for
training mechani cal engineers in technological universities.
Therefore, the basic goal of the mono graph "Advanced Theory of
Vibrations 1" is to help students studying vibration theory for
gaining experience in application of this theory for solving
particular problems. Thus, while choosing the problems and methods
to solve them, the close attention was paid to the applied content
of vibration theory. The monograph is devoted to systems with a
single degree of freedom and sys tems with a finite number of
degrees of freedom. In particular, problems are for mulated
associated with determination of frequencies and forms of
vibrations, study of forced vibrations, analysis of both stable and
unstable vibrations (includ ing those caused by periodic but
anharmonic forces). The problems of nonlinear vibrations and of
vibration stability, and those related to seeking probabilistic
characteristics for solutions to these problems in the case of
random forces are also considered. Problems related to parametric
vibrations and statistical dynamics of mechanical systems, as well
as to determination of critical parameters and of dy namic
stability are also analyzed. As a rule, problems presented in the
monograph are associated with particular mechanical systems and can
be applied for current studies in vibration theory. Al lowing for
interests of students independently studying theory of vibrations,
the majority of problems are supplied with either detailed
solutions or algorithms of the solutions.