## What is/are Conical Shell?

Conical Shell - In this study, nonlinear vibration of a conical shell with a piezoelectric sensor patch and a piezoelectric actuator patch is evaluated.^{[1]}The aerodynamic characteristics of launch vehicles separable elements, which are cylindrical and conical shells, in supersonic airflow are presented in this paper.

^{[2]}In this article, on the basis of a refined theory, we study the stress state of a conical shell of the “boundary layer” type.

^{[3]}The novelty of the present study is incorporating the transverse shear deformation in calculating the natural frequencies of the joined cylindrical-conical shells.

^{[4]}By the effective utilization of natural convection, rate of heat transfer can be enhanced and the conical shell is beneficent in this regard.

^{[5]}This paper presents the combination of multiple scale method and modal analysis in order to investigate nonlinear vibration of laminated composite angle-ply cylindrical and conical shells.

^{[6]}The plano-conical shells of acrotretides are distinct in comparison to other brachiopod groups and despite their diversity and abundance in early Palaeozoic communities, their origins, early evolution, life history and phylogeny are poorly understood.

^{[7]}Three types of boundary conditions are considered to investigate the natural frequency of the conical shells.

^{[8]}The present research aims to improve the thermal charging of a conical shell-tube LHTES unit by optimizing the shell-shape and fin-inclination angle in the presence of nanoadditives.

^{[9]}The origin of this effect is related to the combination of a crystalline/amorphous interface parallel to the heat flux, together with the variable amount of amorphous coating due to the conical shell of the nanowire.

^{[10]}Experimental models are considered that were loaded with a concentrated force at the center of the conical shell, as well as along the support ring of the spherical shell.

^{[11]}It may cause serious deviation from demand dimensions particularly for the products inclined by certain angle such as conical shells or products.

^{[12]}The aim of this paper is to explore the plastic collapse response in conical shells with low semi-vertex angle values under compression.

^{[13]}As a typical structure of underwater vehicles, the vibration characteristics of the conical shell are of great significance to the selection of structural design parameters.

^{[14]}Different types of shells are used in foundations such as conical shell, triangular shell, pyramidal shell, hyperbolic paraboloid shell, cylindrical shell inverted dome, elliptic paraboloid, inverted spherical shell etc.

^{[15]}A conical shell-tube design with non-uniform fins was addressed for phase change latent heat thermal energy storage (LHTES).

^{[16]}The Human Immunodeficiency Virus type 1 (HIV-1) virion contains a conical shell, termed capsid, encasing the viral RNA genome.

^{[17]}In this study, an effective analytical solution for the stability problem of functionally graded (FG) carbon nanotube reinforced composite (CNTRC) conical shells (CSs) exposed to external lateral and hydrostatic pressures is presented.

^{[18]}The present study captures the effect of temperature on the natural modes of functionally graded (FG) conical shell using finite element method.

^{[19]}This paper focus on the precision actuation and control effectiveness of conical shells.

^{[20]}The first approach is based on buckling formulae calculated using a linear eigenvalue analysis performed on extensive experimental results of buckling of conical shells.

^{[21]}Considering the uncoupled thermoelasticity assumptions, a thermally induced vibration analysis for functionally graded material (FGM) conical shells is performed in this research.

^{[22]}To demonstrate the simplifications, the generic piezoelectric shell energy harvesting mechanism was applied to a cantilever beam, a circular ring and a conical shell in cases studies.

^{[23]}Conical shells are structures with a broad spectrum of applications in many contexts including hydrocarbon storage tanks, refinery structures, cooling towers, body and interface of missiles, hull of aircrafts, nozzle of missiles and jet engines, liquid transmission pipelines and tankers, power plant structures, turbines and pressurized vessels, hull of submarines and various types of constructional structures and silos.

^{[24]}Finally, we present numerical experiments with a portion of the conical shell and a portion of the hyperbolic shell to verify theoretical convergence results and demonstrate the effectiveness of the numerical scheme.

^{[25]}The ring-stiffened shell is firstly decomposed to several shell segments and rings with T cross-section according to intersections between the shell and rings, and shell segments are further divided into some narrower segments to be treated as conical shells.

^{[26]}The specific FGP structure elements include the cylindrical shell, conical shell, spherical shell, cylindrical panel, conical panel and spherical panel.

^{[27]}The hermit crab Calcinus californiensis shows a preference for the biconical shells of Stramonita biserialis , although the crabs may also use the less preferred shell of Nerita scabricosta.

^{[28]}The shell is firstly decomposed to several narrow shell segments to be treated as conical shells.

^{[29]}Based on previous works, the roof is modeled as a conical shell with an equivalent uniform thickness.

^{[30]}Vibration phenomena in mechanical structures including conical shells are usually undesirable.

^{[31]}These species can be attributed to the family Epitoniidae (wentletraps) based on the shell characters such as the slender and conical shell-shape, numerous whorls, round aperture and regular, axial sculpture of high, sharply-ribbed costae.

^{[32]}The snail has a conical shell with pits and/or granules on embryonic whorls and a smooth teleoconch with straight peristome.

^{[33]}

## order shear deformation

To this purpose, von Karman-type kinematic nonlinearity along with modified couple stress theory of elasticity was applied to third-order shear deformation conical shell theory in the presence of magnetic permeability tensor and magnetic fluxes.^{[1]}In this work, the large-amplitude free and forced vibrations of functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shells are investigated based on the higher-order shear deformation theory.

^{[2]}The linear parametric instability (PI) of laminated inhomogeneous orthotropic truncated conical shells (LIHOCSs) under periodic axial load depending on the time, are studied using the first order shear deformation theory (FOSDT).

^{[3]}First-order shear deformation (FSDT) and Love's conical shell theories are used for obtaining the annular sector plate equations via some suitable angles and geometric parameters.

^{[4]}

## first order shear

In this research, the natural frequency responses of joined hemispherical–cylindrical–conical shells made of composite three-phase materials have been dealt with in the framework of First-Order Shear Deformation Theory (FOSDT).^{[1]}In this paper, free vibration analysis of sandwich composite joined conical-cylindrical-conical shells is implemented using First-order Shear Deformation Theory (FSDT).

^{[2]}In this article, a comprehensive study is conducted on the free vibration analysis of rotating truncated conical shells reinforced with functionally graded agglomerated carbon nanotubes The shell is modeled based on the first-order shear deformation theory, and effective mechanical properties are calculated based on the Eshelby–Mori–Tanaka scheme along with the rule of mixture.

^{[3]}In this study, the first-order shear deformation theory (FSDT) is used to establish a nonlinear dynamic model for a conical shell truncated by a functionally graded graphene platelet-reinforced composite (FG-GPLRC).

^{[4]}

## stiffened functionally graded

In this paper, thermal buckling and free vibration of orthogonally stiffened functionally graded truncated conical shells in thermal environment is investigated.^{[1]}A semi-analytical approach to eccentrically stiffened functionally graded truncated conical shells surrounded by an elastic medium in thermal environments is presented.

^{[2]}This paper investigates the nonlinear instability of eccentrically stiffened functionally graded (ES-FG) sandwich truncated conical shells subjected to the axial compressive load.

^{[3]}

## functionally graded material

This paper presents analytical studies on the dynamic instability of functionally graded material (FGM) sandwich conical shell subjected to time dependent periodic parametric axial and lateral load.^{[1]}In this paper, a semi-analytical method is presented for nonlinear vibration analysis of rotating stiffened truncated conical shells with functionally graded materials (FGM) in the thermal environm.

^{[2]}The main objective of this paper is focused on the vibration behavior analysis of functionally graded material (FGM) sandwich joined conical–conical shell surround by elastic foundations.

^{[3]}

## functionally graded carbon

On the basis of that, an accurate and analytical method for investigation the dynamic instability of laminated functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell surrounded by the elastic foundations is presented in this work based on the first-order shear deformation theory.^{[1]}This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments.

^{[2]}The free vibration analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) conical shell is carried out by using element-free kp-Ritz method.

^{[3]}

## finite element method

Based on the analysis and design idea, we use the finite element method to evaluate the dangerous position of the conical shell opening structure, select the stress concentration coefficient of the opening as the research object, analyze the influence of different opening angle and with/withput a connecting pipe on it, and seeks the optimal design of the conical shell opening.^{[1]}In this paper, the free vibration results of a functionally graded conical shell under nonlinear thermal loading are presented employing finite element method wherein the shell kinematics is based on first-order shear deformation theory.

^{[2]}

## shear deformation theory

A layerwise shear deformation theory is applied in this paper for buckling analysis of piezoelectric truncated conical shell.^{[1]}

## carbon nanotube reinforced

This article is provided to investigate the free vibrational behaviors accompanied by buckling characteristics of carbon nanotube-reinforced conical shells via the Haar wavelet technique.^{[1]}

## Truncated Conical Shell

The purpose of the current study is the nonlinear vibration analysis of an axially moving truncated conical shell.^{[1]}Acoustic transmission through single- and double-walled truncated conical shells lined with poroelastic material is analytically studied.

^{[2]}Present work investigates the natural vibration characteristics of the porous metal foam truncated conical shells with the two interesting elastic restrained boundaries by using the generalized differential quadrature (GDQ) method.

^{[3]}This work addresses the free vibration analysis of Functionally Graded Porous (FGP) nanocomposite truncated conical shells with Graphene PLatelet (GPL) reinforcement.

^{[4]}Novel corrugated hierarchical truncated conical shells (HTCS) with corrugated cores were designed for energy absorption under quasi-static axial compression.

^{[5]}In this paper, a semi-analytical method is presented for nonlinear vibration analysis of rotating stiffened truncated conical shells with functionally graded materials (FGM) in the thermal environm.

^{[6]}A technique is proposed for the optimization of supports in the form of truncated conical shells with a stepwise change in the wall thickness.

^{[7]}This paper presents an analysis of free vibration characteristics of truncated conical shells under complex boundary conditions.

^{[8]}In this research, the thermal buckling analysis of a truncated conical shell made of porous materials on elastic foundation is investigated.

^{[9]}In this work, nonlinear forced vibrations of truncated conical shells are presented using a semi-analytical method.

^{[10]}In this article, a comprehensive study is conducted on the free vibration analysis of rotating truncated conical shells reinforced with functionally graded agglomerated carbon nanotubes The shell is modeled based on the first-order shear deformation theory, and effective mechanical properties are calculated based on the Eshelby–Mori–Tanaka scheme along with the rule of mixture.

^{[11]}This paper presents a dynamic stiffness formulation for the free vibration analysis of truncated conical shell and its combinations with uniform boundary restraints.

^{[12]}This article deals with the analysis of free vibration of an axially moving truncated conical shell.

^{[13]}This paper extends an optimization procedure to obtain the optimal dynamic properties of laminated sandwich multiphase nanocomposite truncated conical shell under magneto-hygro-thermal conditions.

^{[14]}A consistent layerwise/zigzag model is established for multilayered truncated conical shells reinforced by carbon nanotubes (CNTs) with material properties continuous at the interfaces between the layers.

^{[15]}In this paper, the integro-differential equations of natural oscillations of a viscoelastic ribbed truncated conical shell are obtained based on the Lagrange variational equation.

^{[16]}In the present article, dynamic response of a thick sandwich truncated conical shells with a transversely flexible/inflexible core and nanocomposite face sheets subjected to low-velocity impact was studied.

^{[17]}In this study, the nonlinear buckling of stiffened FGM truncated conical shells resting on an elastic foundation and subjected to a uniform axial compressive load is considered.

^{[18]}Nonlinear free vibration of truncated conical shells has been investigated for three different shell theories; Donnell, Sanders and Nemeth to investigate the effect of their simplifying assumptions.

^{[19]}The linear parametric instability (PI) of laminated inhomogeneous orthotropic truncated conical shells (LIHOCSs) under periodic axial load depending on the time, are studied using the first order shear deformation theory (FOSDT).

^{[20]}In this research, the dynamic instabilities of nanocomposite truncated conical shells containing a quiescent or a flowing inviscid fluid are scrutinized.

^{[21]}In this study, the vibration of functionally graded porous truncated conical shell reinforced with graphene platelets (GPLs) is investigated.

^{[22]}This paper is concerned with the nonlinear vibration and dynamic response of carbon nanotube (CNT) reinforced composite truncated conical shells resting on elastic foundations in a thermal environm.

^{[23]}ABSTRACT This paper examines an analytical investigation into nonlinear thermomechanical buckling and postbuckling of ES-FGM truncated conical shells.

^{[24]}In this paper, thermal buckling and free vibration of orthogonally stiffened functionally graded truncated conical shells in thermal environment is investigated.

^{[25]}Most of the research on truncated conical shells focuses on the dynamics with classical boundary conditions.

^{[26]}A semi-analytical method is presented to investigate time-dependent thermo-elastic creep behavior and life assessment of thick truncated conical shells with variable thickness subjected to internal.

^{[27]}A layerwise shear deformation theory is applied in this paper for buckling analysis of piezoelectric truncated conical shell.

^{[28]}Vibration and buckling analysis of laminated sandwich truncated conical shells with compressible or incompressible core are presented in this work considering curvature effects.

^{[29]}A semi-analytical approach to eccentrically stiffened functionally graded truncated conical shells surrounded by an elastic medium in thermal environments is presented.

^{[30]}This paper investigates the nonlinear instability of eccentrically stiffened functionally graded (ES-FG) sandwich truncated conical shells subjected to the axial compressive load.

^{[31]}

## Composite Conical Shell

The object of this study is to determine the global buckling load of stiffened composite conical shells under axial compression.^{[1]}Taking the composite conical shell as an example, a variable angle initial path generation method of the conical shell surface is proposed, and the parallel offset algorithms based on partition and the circumferential averaging are proposed to fill the surface.

^{[2]}The free vibration behaviors of rotating laminated composite conical shells reinforced with graphene sheets are investigated.

^{[3]}Nonlinear vibration control of laminated composite conical shells surrounded by elastic foundations through magnetostrictive layers is presented in this paper.

^{[4]}In the present work, the effect of pre-strain and number of shape memory alloys on the compressive performance of glass/epoxy composite conical shells were studied.

^{[5]}This paper investigates the nonlinear vibration responses of laminated composite conical shells surrounded by elastic foundations under S-S and C-C boundary conditions via an approximate approach.

^{[6]}In this paper, a numerical and experimental investigation is performed to examine the vibration responses of laminated composite conical shell structures.

^{[7]}The present study proposes an exact analysis for unsteady anisotropic conduction heat transfer in heterogeneous composite conical shells.

^{[8]}In this study, the transient dynamic analysis of grid-stiffened composite conical shells is discussed.

^{[9]}The static and dynamic instability behavior of a simply supported damped composite conical shell panels subjected to periodic axial compression is studied.

^{[10]}In the present paper, for the first time the vibration behavior of hybrid composite conical shells reinforced with shape memory alloy (SMA) fibers is investigated.

^{[11]}In present paper, problem of anisotropic heat conduction in heterogeneous composite conical shells is solved analytically.

^{[12]}

## Sandwich Conical Shell

This paper presents analytical studies on the dynamic instability of functionally graded material (FGM) sandwich conical shell subjected to time dependent periodic parametric axial and lateral load.^{[1]}This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments.

^{[2]}This paper investigates the vibrational behavior of sandwich conical shells with geodesic lattice core and variable skin thicknesses using analytical and numerical approaches.

^{[3]}The free vibration behavior of sandwich conical shells with reinforced cores is investigated in the present study using experimental, analytical, and numerical methods.

^{[4]}The vibration characteristics, including fundamental frequencies and loss factors, of a sandwich conical shell with constrained viscoelastic layer is presented.

^{[5]}

## Graded Conical Shell

This paper investigates the free vibration behavior of a rotating functionally graded conical shell, reinforced by an anisogrid lattice structure.^{[1]}In this paper, the free vibration results of a functionally graded conical shell under nonlinear thermal loading are presented employing finite element method wherein the shell kinematics is based on first-order shear deformation theory.

^{[2]}The vibration of rotating functionally graded conical shells with temperature-dependency of material properties is studied in this paper.

^{[3]}The purpose of this study is to provide an exhaustive review of the literature on the vibration and buckling of functionally graded materials (FGMs), functionally graded conical shells (FGCSs), functionally graded layered conical shells (FGLCSs), and functionally graded sandwich-conical shells (FGSCSs).

^{[4]}The purpose of this paper is to explore the buckling problems of functionally graded conical shells due to thermal loadings.

^{[5]}

## Shallow Conical Shell

A finite element (FE) based theoretical study on dynamical behavior of composite sandwich shallow conical shell (CSSCS) subjected to low-velocity impact loading in hygrothermal environments is carried out.^{[1]}The dynamic response study on thermo-magneto-elastic behavior of shallow conical shell in a time-dependent magnetic field is investigated, and the dynamic responses of displacement of shallow conical shell under mechanical loads, electromagnetic fields and temperature field coupling are analyzed.

^{[2]}The present study deals with the effect of offset length on the first ply failure load of undelaminated and mid plane delaminated composite shallow conical shells.

^{[3]}

## Supported Conical Shell

In this study, a simply supported conical shell with distributed piezoelectric sensor and actuator layers is considered and the shell’s vibration reduction is investigated.^{[1]}ABSTRACT In this investigation, the effects of sensor distribution in the simply supported conical shells on the modal voltages of the sensors are studied.

^{[2]}Based on the TLUYC, the plastic limit analysis of simply supported conical shells subjected to internal pressure is carried out.

^{[3]}

## Laminated Conical Shell

A layerwise-differential quadrature method (LW-DQM) is developed for the vibration analysis of a stiffened laminated conical shell.^{[1]}In the present research, buckling analysis of composite laminated conical shells reinforced with graphene sheets is investigated.

^{[2]}

## Steel Conical Shell

This paper aims to propose an equivalent cylinder radius for the buckling behavior of relatively thick steel conical shells subjected to axial compression.^{[1]}This paper presents an experimental study into the behaviour of steel conical shells reinforced by carbon fibre reinforced polymer (CFRP) laminates subjected to uniform external pressure.

^{[2]}

## conical shell structure

In this paper, a numerical and experimental investigation is performed to examine the vibration responses of laminated composite conical shell structures.^{[1]}The conical shell structure is prone to dynamic instability when subjected to time dependent periodic axial loads and it can cause structural damage.

^{[2]}In this paper, the dynamic stiffness method (DSM) is presented to investigate the vibration characterizes of coupled conical-ribbed cylindrical-conical shell structure with general boundary condition.

^{[3]}

## conical shell panel

This article presents a numerical investigation on the free vibration characteristics of rotating pretwisted sandwich conical shell panels with two functionally graded carbon nanotube-reinforced composite (FG-CNTRC) face sheets and a homogeneous core in uniform thermal environments.^{[1]}The static and dynamic instability behavior of a simply supported damped composite conical shell panels subjected to periodic axial compression is studied.

^{[2]}

## conical shell theory

To this purpose, von Karman-type kinematic nonlinearity along with modified couple stress theory of elasticity was applied to third-order shear deformation conical shell theory in the presence of magnetic permeability tensor and magnetic fluxes.^{[1]}First-order shear deformation (FSDT) and Love's conical shell theories are used for obtaining the annular sector plate equations via some suitable angles and geometric parameters.

^{[2]}