Download Free Dynamic Behavior Of Cylindrical Shells Under Initial Stress Book in PDF and EPUB Free Download. You can read online Dynamic Behavior Of Cylindrical Shells Under Initial Stress and write the review.

The effect of initial stress and in particular of thermal stress on the dynamical behavior of thin shells (vibration and propagation of bending waves) is studied. The case of a circular cylindrical is considered in detail, and several effects of initial stress and distributed moment evaluated. Methods of determining initial thermal stress and deflection are given and their effects on natural frequencies and modes considered. Local effects on the velocity of propagation of bending waves are studied in detail and quantitative evaluations are obtained. Comparison with experimental results is given. (Author).
The vibrational characteristics and mechanical properties of shell structures are discussed. The subjects presented are: (1) fundamental equations of thin shell theory, (2) characteristics of thin circular cylindrical shells, (3) complicating effects in circular cylindrical shells, (4) noncircular cylindrical shell properties, (5) characteristics of spherical shells, and (6) solution of three-dimensional equations of motion for cylinders.
Recent analytical and experimental research activities in the area of dynamic behavior of thin elastic shells at the Structural Mechanics Laboratory of Northwestern University are reviewed. These activities fall within the following three groups: analytical and experimental studies of frequency spectra and mode shapes of cylindrical shells subjected to initial mechanical stresses and non-uniform heating; analytical and experimental studies of impact loading of cylindrical shells and rings; and dynamic interaction of cylindrical shells and a surrounding fluid. (Author).
The bending theory of shells under the influence of initial stress is applied in this investigation to study the effect of initial uniform circumferential stress, uniform bending moment and uniform radial shear on the dynamic response of an infinitely long (motion is independent of the axial coordinate) elastic circular cylindrical shell. (Author).
The equations of motion for large deformation of a thin elastic cyl ndrical shell are derived and simplified to a form second order theory which is adequate for investigating the dynamic stability of the shell. A review of linear vibrations is presented. The response of a cylindrical shell to a uniform impulsive pressure is investigated. It is found that the circular mode of vibration, which is the basic response of the shell, may be unstable, the shell going over into bending modes of vibration. A criterion is established for predicting the bending modes excited. It is shown that the type of instability involved corresponds to what is known as autoparametric excitation in non-linear oscillations. Uniform impulsive pressure of sufficient magnitude to cause inward plastic flow is considered. The analysis is carried out for a stress-strain relation which includes purely viscous, viscoplastic, and linear strain hardening materials as special cases. It is shown that a series of wrinkles develop around the circumference as the shell flows inward. The wrinkling arises from magnification of the irregularities in the initial radial velocity due to the compressive membrane force in the shell. (Author).
This monograph is devoted to nonlinear dynamics of thin plates and shells with thermosensitive excitation. Because of the variety of sizes and types of mathematical models in current use, there is no prospect of solving them analytically. However, the book emphasizes a rigorous mathematical treatment of the obtained differential equations, since it helps efficiently in further developing of various suitable numerical algorithms to solve the stated problems.