Preface
‘Vibrations and StabilityÁÁÁ’ is aimed at third- to fifth-year undergraduates and
postgraduates in mechanical or structural engineering. The book covers a range of
subjects relevant for a one- or two-semester course in advanced vibrations and
stability. Also, it can be used for self-study, e.g., by students on master or Ph.D.
projects, researchers, and professional engineers. The focus is on nonlinear
phenomena and tools, covering the themes of local perturbation analysis (Chaps. 3
and 4), bifurcation analysis (Chap. 5), global analysis/chaos theory (Chap. 6), and
special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid
with a brief summary of elementary linear vibration theory (Chap. 1) and a treatment
of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise
problems and extensive bibliographic references to serve the needs of both students
and more experienced users; major exercises for course work; and appendices on
numerical simulation, standard mathematical formulas, vibration properties of basic
structural elements, and properties of engineering materials. A solution manual with
worked out solutions for most of the exercise problems is available (see the books
page at springer.com).
This Third Edition contains more than 200 corrections and minor changes to the
second edition and adds 125 pages, 38 figures, 14 exercise problems, and 163
literature references. Several new sections are added, including on complex-valued
eigenvalues and mode shapes; nondimensionalization of equations of motion;
damping types, measures, and parameter relations; the stiffness and flexibility
methods for deriving equations of motion; classification of forces and systems; the
van der Pol and Rayleigh oscillators; frequency response backbone analysis;
vibro-impact analysis; numerical continuation techniques; experimental bifurcation
analysis; and many minor subsection topics and updates.
The new edition does not represent an attempt to cover all of the progress made
in this field since the appearance of the previous edition. Rather is it reaction to all
the many useful inputs and specific suggestions I have (thankfully) received from
readers and students over the years, combined with my own wish to add some
topics and updates of importance for the books continued use in teaching and
v
‘Vibrations and StabilityÁÁÁ’ is aimed at third- to fifth-year undergraduates and
postgraduates in mechanical or structural engineering. The book covers a range of
subjects relevant for a one- or two-semester course in advanced vibrations and
stability. Also, it can be used for self-study, e.g., by students on master or Ph.D.
projects, researchers, and professional engineers. The focus is on nonlinear
phenomena and tools, covering the themes of local perturbation analysis (Chaps. 3
and 4), bifurcation analysis (Chap. 5), global analysis/chaos theory (Chap. 6), and
special high-frequency effects (Chap. 7). The ground for nonlinear analysis is laid
with a brief summary of elementary linear vibration theory (Chap. 1) and a treatment
of differential eigenvalue problems in some depth (Chap. 2). Also, there are exercise
problems and extensive bibliographic references to serve the needs of both students
and more experienced users; major exercises for course work; and appendices on
numerical simulation, standard mathematical formulas, vibration properties of basic
structural elements, and properties of engineering materials. A solution manual with
worked out solutions for most of the exercise problems is available (see the books
page at springer.com).
This Third Edition contains more than 200 corrections and minor changes to the
second edition and adds 125 pages, 38 figures, 14 exercise problems, and 163
literature references. Several new sections are added, including on complex-valued
eigenvalues and mode shapes; nondimensionalization of equations of motion;
damping types, measures, and parameter relations; the stiffness and flexibility
methods for deriving equations of motion; classification of forces and systems; the
van der Pol and Rayleigh oscillators; frequency response backbone analysis;
vibro-impact analysis; numerical continuation techniques; experimental bifurcation
analysis; and many minor subsection topics and updates.
The new edition does not represent an attempt to cover all of the progress made
in this field since the appearance of the previous edition. Rather is it reaction to all
the many useful inputs and specific suggestions I have (thankfully) received from
readers and students over the years, combined with my own wish to add some
topics and updates of importance for the books continued use in teaching and
v