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Dynamics of a rotating ring-stiffened sandwich conical shell with an auxetic honeycomb core

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Applied Mathematics and Mechanics(English Edition) 2024年第6期45卷 963-982页

作者： S.JAHANGIRI A.GHORBANPOUR ARANI Z.KHODDAMI MARAGHI Department of Solid Mechanics Faculty of Mechanical EngineeringUniversity of KashanKashan ***Iran Faculty of Engineering Mahallat Institute of Higher EducationMahallat ***Iran

The free vibration analysis of a rotating sandwich conical shell with a reentrant auxetic honeycomb core and homogenous isotropic face layers reinforced with a ring support is *** shell is modeled utilizing the first-order shear deformation theory(FSDT)incorporating the relative,centripetal,and Coriolis accelerations alongside the initial hoop tension created by the *** governing equations,compatibility conditions,and boundary conditions are attained using Hamilton’s *** trigonometric functions,an analytical solution is derived in the circumferential direction,and a numerical one is presented in the meridional direction via the differential quadrature method(DQM).The effects of various factors on the critical rotational speeds and forward and backward frequencies of the shell are *** present work is the first theoretical work regarding the dynamic analysis of a rotating sandwich conical shell with an auxetic honeycomb core strengthened with a ring support.

关键词： free vibration conical shell rotating shell ring support auxetic honeycomb

Torsional postbuckling characteristics of functionally graded graphene enhanced laminated truncated conical shell with temperature dependent material properties

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Theoretical & Applied Mechanics Letters 2023年第4期13卷 272-279页

作者： Hamad M.Hasan Saad S.Alkhfaji Sattar A.Mutlag Department of Mechanical Engineering University of AnbarRamadi 31001Iraq Department of Medical Instrumentation Engineering Ashur University CollegeBaghdad 10044Iraq

Buckling and postbuckling characteristics of laminated graphene-enhanced composite(GEC)truncated conical shells exposed to torsion under temperature conditions using finite element method(FEM)simulation are presented in this *** the thickness direction,the GEC layers of the conical shell are ordered in a piece-wise arrangement of functionally graded(FG)distribution,with each layer containing a variable volume fraction for graphene *** calculate the properties of temperaturedependent material of GEC layers,the extended Halpin-Tsai micromechanical framework is *** FEM model is verified via comparing the current results obtained with the theoretical estimates for homogeneous,laminated cylindrical,and conical shells,the FEM model is *** computational results show that a piece-wise FG graphene volume fraction distribution can improve the torque of critical buckling and torsional postbuckling ***,the geometric parameters have a critical impact on the stability of the conical ***,a temperature rise can reduce the crucial torsional buckling torque as well as the GEC laminated truncated conical shell’s postbuckling strength.

关键词： Torsional postbuckling Graphene enhanced composite Functionally graded graphene Finite element method conical shell

THE DISPLACEMENT SOLUTION OF conical shell AND ITS APPLICATION

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Applied Mathematics and Mechanics(English Edition) 1991年第2期12卷 163-180页

作者：黄义 1. Xi'an Institute of Metallurgy and Construction Engineering Xi'an

In this paper, the displacement solution method of the conical shell is presented. From the differential equations in displacement form of conical shell and by introducing a displacement function, U,the differential equations are changed into an eight-order soluble partial differential equation about the displacement Junction U in which the coefficients are variable. A t the same time, the expressions of the displacement and internal force components of the shell are also given by the displacement function. As special cases of this paper, the displacement function introduced by V. Z. Vlasov in circular cylindrical shell, the basic equation of the cylindrical shell and that of the circular plate are directly derived.Under the arbitrary loads and boundary conditions, the general bending problem of the conical shell is reduced to finding the displacement functionU,and the general solution of the governing equation is obtained in generalized hypergeometric function, For the axisymmetric bending deformation of the conical shell, the general solution is expressed in the Bessel functionOn the basis of the governing equation obtained in this paper, the differential equation of conical shell on the elastic foundation (A Winkler Medium) is deduced, its general solutions are given in a power series, and the numerical calculations are carried out.

关键词： conical shell displacement function generalized hypergeometric function elastic foundation

Modeling and optimal vibration control of conical shell with piezoelectric actuators

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High Technology Letters 2008年第4期14卷 418-422页

作者：王威远 School of Astronautics Harbin Institute of TechnologyHarbin 150001P.R.China

In this paper numerical simulations of active vibration control for conical shell structure with dis-tributed piezoelectric actuators is *** dynamic equations of conical shell structure are derivedusing the finite element model (FEM) based on Mindlin's plate *** results of modal calculationswith FEM model are accurate enough for engineering applications in comparison with experiment *** Electromechanical influence of distributed piezoelectric actuators is treated as a boundary conditionfor estimating the control *** independent modal space control (IMSC) method is adopted and theoptimal linear quadratic state feedback control is implemented so that the best control performance withthe least control cost can be *** control effects are compared with controlled responses withother non-optimal control *** simulation results are given to demonstrate the effective-ness of the control scheme.

关键词： conical shell piezoelectric material smart structure vibration control active control

Distributed sensing experiment of a conical shell with diagonal piezoelectric sensors

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Distributed sensing experiment of a conical shell with diago...

VALVE DESIGNING AND EXPERIMENT OF THE SINGLE conical shell VALVE PIEZOELECTRIC PUMP

2011年全国压电和声波理论及器件应用研讨会

作者： Horn-sen TZOU StrucTronics and Control Lab.Department of Engineering Mechanics School of Aeronautics and Astronautics Zhejiang UniversityHangzhou 310027China

＜正＞This paper reported the experimental research on the distributed vibration sensing of conical shells using diagonal piezoelectric *** piezoelectric sensor is a general description of the piezoelectric patch,such... 详细信息

关键词： Piezoelectric Energy harvesting Experiment conical shell

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VALVE DESIGNING AND EXPERIMENT OF THE SINGLE CONICAL SHELL V...

Study on active vibration control of conical shell with patched piezoelectric actuators

2013全国压电和声波理论及器件技术研讨会

作者： Daogen CHEN Jianhui ZHANG Bingxin CAO Jun HUANG State Key Laboratory of Mechanics and Control of Mechanical Structure Nanjing University of Aeronautics and Astronautics

Valve’s following-up movement has been a tough problem for the tradition valve possess piezoelectric *** studying the valve is *** this way it may support some useful information to make a further exploring of whether can regulate pump’s output by changing valve’s structure and material *** order to find the effect that applied on the single conical shell valve ***’s Stress distribution has been *** valve’s kinematics model has also been set *** these bases the relationship between the valve’s bending deformation and the valve’s parameter such as stiffness,quality etc has been *** experiments has been implemented and proving the corresponding theoretical *** the valve’s parameter has been chosen reasonable the pump’s working output is going to be 56 Hz in working frequency and the flow rate can reach 190 ml/min under the voltage sat as 220V.

关键词： Piezoelectric Pump conical shell Valve Kinematics model

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Study on active vibration control of conical shell with patc...

Analysis of natural vibration of truncated conical shells partially filled with fluid

第六届国际振动工程会议

作者： Weiyuan Wang+ Cong Wang Zhenzhu Zou School of Astronautics Harbin Institute of Technology Harbin 150001 China

In this paper numerical simulations of active vibration control for conical shell structure with distribute piezoelectric actuators is presented. The structure dynamic equations are derived by finite element model （FEM） which based on Mindlin’s plate theory. The results of modal calculations with FEM model are accurate enough for engineering applications by compared with experiment results. The Electromechanical influence of distribute piezoelectric actuator is treated as a boundary condition to estimate the control force. Independent modal space control （IMSC） method and negative velocity feedback control was implemented. Numerical simulation results demonstrate the effectiveness of the control scheme.

关键词： conical shell piezoelectric material smart structure vibration control active control

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International Journal of Mechanical System Dynamics 2024年第2期4卷 142-152页

作者： Sergey A.Bochkarev Sergey V.Lekomtsev Laboratory of Functional Materials Institute of Continuous Media MechanicsUral Branch of Russian Academy of SciencesPermRussian Federation

In this paper,we study the vibrational behavior of shells in the form of truncated cones containing an ideal compressible *** sloshing effect on the free surface of the fluid is *** dynamic behavior of the elastic structure is investigated based on the classical shell theory,the constitutive relations of which represent a system of ordinary differential equations written for new *** fluid vibrations are described in terms of acoustic approximation using the wave equation for hydrodynamic pressure written in spherical *** transformation into the system of ordinary differential equations is carried out by applying the generalized differential quadrature *** formulated boundary value problem is solved by Godunov's orthogonal sweep *** frequencies of shell vibrations are calculated using the stepwise procedure and the Muller *** accuracy and reliability of the obtained results are estimated by making a comparison with the known numerical and analytical *** dependencies of the lowest frequency on the fluid level and cone angle of shells under different combinations of boundary conditions(simply supported,rigidly clamped,and cantilevered shells)have been studied *** conical straight and inverted shells,a numerical analysis has been performed to estimate the possibility of finding configurations at which the lowest natural frequencies exceed the corresponding values of the equivalent cylindrical shell.

关键词： classical shell theory conical shell Godunov's orthogonal sweep method ideal compressible fluid generalized differential quadrature method natural vibrations

Finite Element Method Coupling Penalty Method for Flexural shell Model

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Advances in Applied Mathematics and Mechanics 2022年第2期14卷 365-385页

作者： Xiaoqin Shen Yongjie Xue Qian Yang Shengfeng Zhu School of Sciences Xi’an University of TechnologyXi’anShaanxi 710054China School of Mathematical Sciences&Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice East China Normal UniversityShanghai 200241China

In this paper,we propose a conformingﬁnite element method coupling penalty method for the linearly elasticﬂexural shell to overcome computational dif-ﬁ*** start with discretizing the displacement variable,i.e.,the two tangent components of the displacement are discretized by using conformingﬁnite elements(linear element),and the normal component of the displacement is discretized by us-ing conforming Hsieh-Clough-Tocher element(HCT element).Then,the existence,uniqueness,stability,convergence and a priori error estimate of the corresponding analyses are proven and ***,we present numerical experiments with a portion of the conical shell and a portion of the cylindrical shell to verify theoretical convergence results and demonstrate the effectiveness of the numerical scheme.

关键词： Flexural shell conformingﬁnite element method penalty method conical shell cylindrical shell