Theory Of Elastic Oscillations: Equations And Methods (foundations Of Engineering Mechanics)
by Vladimir Fridman /
2017 / English / EPUB
3.7 MB Download
This book presents in detail an alternative approach to solving
problems involving both linear and nonlinear oscillations of
elastic distributed parameter systems. It includes the so-called
variational, projection and iterative gradient methods, which,
when applied to nonlinear problems, use the procedure of
linearization of the original non-linear equations.
This book presents in detail an alternative approach to solving
problems involving both linear and nonlinear oscillations of
elastic distributed parameter systems. It includes the so-called
variational, projection and iterative gradient methods, which,
when applied to nonlinear problems, use the procedure of
linearization of the original non-linear equations.
These methods are not universal and require a different solution
for each problem or class of problems.However, in many cases the
combination of the methods shown in this book leads to more
efficient algorithms for solving important applied problems.To
record these algorithms in a unified form, the first part of the
book and its appendix devote considerable attention to compiling
the general operator equations, which include (as particular
cases) equations for vibrations in rods, plates, shells and
three-dimensional bodies. They are mainly considered to be
periodic or nearly periodic oscillations, which correspond to
stat
These methods are not universal and require a different solution
for each problem or class of problems.However, in many cases the
combination of the methods shown in this book leads to more
efficient algorithms for solving important applied problems.To
record these algorithms in a unified form, the first part of the
book and its appendix devote considerable attention to compiling
the general operator equations, which include (as particular
cases) equations for vibrations in rods, plates, shells and
three-dimensional bodies. They are mainly considered to be
periodic or nearly periodic oscillations, which correspond to
stationary or nearly stationary regimes of machinery operation. In
turn, the second part of the book presents a number of solutions
for selected applications.
ionary or nearly stationary regimes of machinery operation. In
turn, the second part of the book presents a number of solutions
for selected applications.
