## What is/are Isotropic Cylindrical?

Isotropic Cylindrical - One acoustic signal is represented by an isotropic cylindrical waveform with the characteristic spatial scale equal to the filament diameter (100–200 \(\upmu \text {m}\)) while the other has the spatial scale equal to the plasma grating period in the range \(20{-}40\,\upmu \text {m}\).^{[1]}On the other hand, each wire layer could be considered as an equivalent elastic anisotropic cylindrical shell on the basis of energy averaging, therefore a conductor or a spiral clamp could be modeled as a system of shells nested into each other and interacting by means of pressure and friction.

^{[2]}In this chapter we develop a general theory of a transversally-isotropic cylindrical shell.

^{[3]}torsional) wave propagation in long anisotropic cylindrical rod (waveguide), surrounded by a viscoelastic fluid is proposed.

^{[4]}Analysis of axisymmetric deformability of mechanical transducers and actuators made in the form of composite anisotropic cylindrical shells subjected to axial tension or internal pressure is presented in the paper.

^{[5]}Motivated by the possibility of arbitrarily controlling the angular momentum of cylindrical waves, we develop a design methodology for a bianisotropic cylindrical metasurface that enables perfect transformation of cylindrical waves.

^{[6]}An approach to solving spatial problems of the stress–strain state and stability of layered anisotropic cylindrical shells is developed.

^{[7]}Using the suitable boundary conditions, the problem of wave transmission from a loss free isotropic cylindrical metallic waveguide to a semi-bounded plasma waveguide has been analyzed.

^{[8]}Additionally, if the yield strength of isotropic cylindrical shell is the same as or close to the yield strength of circumferential direction for orthotropic titanium cylindrical shell, the difference of limit load is smaller.

^{[9]}The characteristic forms of dynamic loss of strength and critical loads of smooth composite and isotropic cylindrical shells as well as of shells stiffened by a system of discrete ribs under combined loading by axial compression and external pressure have been analyzed.

^{[10]}Dispersion properties of eigenwaves of an anisotropic cylindrical solid-state waveguide without frequency dispersion in permittivity tensor components have been analyzed theoretically.

^{[11]}In addition, another comparison is made with non-rotating isotropic cylindrical shell based on 3D theory.

^{[12]}Furthermore, by analyzing some numerical examples, the free vibration characteristics of orthogonal anisotropic cylindrical shells under classical boundary conditions, elastic boundary conditions, and their combinations are studied.

^{[13]}This paper investigates the phenomenon of complexity factor for static charged anisotropic cylindrical configuration.

^{[14]}The concept of local buckling of compressed isotropic cylindrical shells is developed in this paper.

^{[15]}We study the coupled atom-molecular quantized ring vortices of 87Rb Bose-Einstein Condensates (BEC) trapped in a rotating three dimensional (3D) anisotropic cylindrical trap both in time independent and time-dependent Gross-Pitaevskii approaches.

^{[16]}The results reveal that these inhibitor cystine knot peptides perforate the DMPC lipid vesicles similarly with some subtle differences and ultimately create small spherical vesicles and anisotropic cylindrical and discoidal vesicles at concentrations near 1.

^{[17]}Empirical relations based on experiments only are reported for isotropic cylindrical shells.

^{[18]}In this paper, the curved bridge web is equivalent to an isotropic cylindrical flat shell, and the double triangular series satisfying four-edge simply supported boundaries are used as the displacement function of the shell.

^{[19]}This paper presents an analytical and numerical investigation of the relationship between the compressive load level and the natural frequency variation toward a vibration correlation technique for the buckling load calculation of imperfection-sensitive isotropic cylindrical shell structures.

^{[20]}

## isotropic cylindrical shell

On the other hand, each wire layer could be considered as an equivalent elastic anisotropic cylindrical shell on the basis of energy averaging, therefore a conductor or a spiral clamp could be modeled as a system of shells nested into each other and interacting by means of pressure and friction.^{[1]}In this chapter we develop a general theory of a transversally-isotropic cylindrical shell.

^{[2]}Analysis of axisymmetric deformability of mechanical transducers and actuators made in the form of composite anisotropic cylindrical shells subjected to axial tension or internal pressure is presented in the paper.

^{[3]}An approach to solving spatial problems of the stress–strain state and stability of layered anisotropic cylindrical shells is developed.

^{[4]}Additionally, if the yield strength of isotropic cylindrical shell is the same as or close to the yield strength of circumferential direction for orthotropic titanium cylindrical shell, the difference of limit load is smaller.

^{[5]}The characteristic forms of dynamic loss of strength and critical loads of smooth composite and isotropic cylindrical shells as well as of shells stiffened by a system of discrete ribs under combined loading by axial compression and external pressure have been analyzed.

^{[6]}In addition, another comparison is made with non-rotating isotropic cylindrical shell based on 3D theory.

^{[7]}Furthermore, by analyzing some numerical examples, the free vibration characteristics of orthogonal anisotropic cylindrical shells under classical boundary conditions, elastic boundary conditions, and their combinations are studied.

^{[8]}The concept of local buckling of compressed isotropic cylindrical shells is developed in this paper.

^{[9]}Empirical relations based on experiments only are reported for isotropic cylindrical shells.

^{[10]}This paper presents an analytical and numerical investigation of the relationship between the compressive load level and the natural frequency variation toward a vibration correlation technique for the buckling load calculation of imperfection-sensitive isotropic cylindrical shell structures.

^{[11]}