Elastokinetics: An Introduction to the Dynamics of Elastic SystemsProvides a concise introduction to theory and technical applications of elasticity. Fundamentals covered include stress, strain, stress-strain relations, applications to three- and two-dimensional problems, structural mechanics, and stability theory. Uses Cartesian Tensor notations; includes computer-oriented methods. Exercises and SI units of measurement throughout. |
Contents
OF DISCRETE SYSTEMS | 53 |
free vibration and forced motion | 79 |
OF A DISCRETE System | 93 |
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A₁ arbitrary assume B₁ base vectors boundary conditions called characterized components conclude configuration constant continuity equation corresponding curvilinear coordinates defined differential dispersion relation displacement field displacement vector eigenfunctions eigenvalues eijk elastic solids energy flux equations of motion expression Figure follows forced motion problem free vibration function given group velocity Hamilton's principle homogeneous boundary conditions ij,j initial conditions integral isotropic Lagrangian Lagrangian coordinates Laplace transforms linear natural frequencies normal obtain orthogonal phase velocity plane plate primed reference propagation Reismann respectively result scalar second order tensor shear shown in Fig small deformations solution strain energy strain tensor stress equations substituting surface theorem theory torsional transformation wave number α α αβ δυ στ аф ах ахк ди ду дх эт Эх