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1

Shen, Hui-Shen, Yang Xiang, and Yin Fan. "Large amplitude vibration of doubly curved FG-GRC laminated panels in thermal environments." Nanotechnology Reviews 8, no. 1 (2019): 467–83. http://dx.doi.org/10.1515/ntrev-2019-0042.

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Abstract A study on the large amplitude vibration of doubly curved graphene-reinforced composite (GRC) laminated panels is presented in this paper. A doubly curved panel is made of piece-wise GRC layers with functionally graded (FG) arrangement along the thickness direction of the panel. A GRC layer consists of polymer matrix reinforced by aligned graphene sheets. The material properties of the GRC layers are temperature dependent and can be estimated by the extended Halpin-Tsai micromechanical model. The modelling of the large amplitude vibration of the panels is based on the Reddy’s higher o
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2

Shen, Hui-Shen, and X.-Q. He. "Large amplitude free vibration of nanotube-reinforced composite doubly curved panels resting on elastic foundations in thermal environments." Journal of Vibration and Control 23, no. 16 (2015): 2672–89. http://dx.doi.org/10.1177/1077546315619280.

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A large amplitude vibration analysis is presented for nanocomposite doubly curved panels resting on elastic foundations in thermal environments. The doubly curved nanocomposite panels are studied with the consideration of different types of distributions of uniaxial aligned single-walled carbon nanotubes (SWCNTs). The material properties of the functionally graded carbon nanotube-reinforced composites (FG-CNTRCs) are assumed to be graded in the thickness direction according to linear distributions of the volume fraction of CNTs and are estimated through a micromechanical model. The motion equa
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3

Zhang, Xi, Qingmin Chen, Jiaxin Gao, Mingwei Wang, Ya Zhang, and Zhongyi Cai. "Numerical Study on the Plastic Forming of Doubly Curved Surfaces of Aluminum Foam Sandwich Panel Using 3D Voronoi Model." Metals 11, no. 5 (2021): 675. http://dx.doi.org/10.3390/met11050675.

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This paper presents a numerical investigation on the plastic forming of doubly curved surfaces of aluminum foam sandwich panel (AFSP). A mesoscopic 3D Voronoi model that can describe the structure of closed-cell aluminum foam relatively realistically was established, and a series of numerical simulations using the model of the sandwich panel with a Voronoi foam core were conducted on the plastic forming of two typical doubly curved surfaces including spherical and saddle-shaped surfaces of AFSPs to analyze the deformation behaviors and the forming defects in detail. Multi-point forming experim
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4

RAVI KUMAR, L., P. K. DATTA, and D. L. PRABHAKARA. "VIBRATION AND STABILITY BEHAVIOR OF LAMINATED COMPOSITE CURVED PANELS WITH CUTOUT UNDER PARTIAL IN-PLANE LOADS." International Journal of Structural Stability and Dynamics 05, no. 01 (2005): 75–94. http://dx.doi.org/10.1142/s0219455405001507.

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The present paper is concerned with the vibration, buckling and dynamic instability behavior of laminated composite, cross-ply, doubly-curved panels with a central circular hole subjected to in-plane static and periodic compressive loads. A generalized shear deformable Sanders' theory is used to model the curved panels, considering the effects of transverse shear deformation and rotary inertia. Bolotin's approach is used for studying the dynamic instability regions of doubly-curved panels. The effects of non-uniform edge loads, curvature with different cutout ratios, static and dynamic load fa
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5

Singh, A. V., and V. Kumar. "On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 2: Applications." Journal of Vibration and Acoustics 120, no. 1 (1998): 295–300. http://dx.doi.org/10.1115/1.2893820.

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The applications of a Ritz-type numerical scheme, in which the displacement fields are prescribed by Bezier surface patches, are presented for the analysis of doubly curved laminated open panels. The fundamental strain-displacement relations and energy expressions are developed in orthogonal curvilinear coordinates. The higher-order shear deformation theory and the effects of rotary inertia are considered in the formulation. Good comparisons of the results are obtained for a class of open panels. For example, values of the natural frequencies of open cylindrical and spherical panels made of is
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6

Van Tham, Vu, Tran Huu Quoc, and Tran Minh Tu. "Free Vibration Analysis of Laminated Functionally Graded Carbon Nanotube-Reinforced Composite Doubly Curved Shallow Shell Panels Using a New Four-Variable Refined Theory." Journal of Composites Science 3, no. 4 (2019): 104. http://dx.doi.org/10.3390/jcs3040104.

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In this paper, a new four-variable refined shell theory is developed for free vibration analysis of multi-layered functionally graded carbon nanotube-reinforced composite (FG-CNTRC) doubly curved shallow shell panels. The theory has only four unknowns and satisfies zero stress conditions at the free surfaces without correction factor. Five different types of carbon nanotube (CNTs) distribution through the thickness of each FG-CNT layer are considered. Governing equations of simply supported doubly curved FG-CNTRC panels are derived from Hamilton’s principle. The resultant eigenvalue system is
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7

Trang, Le Thi Nhu, and Hoang Van Tung. "Thermomechanical nonlinear stability of pressure-loaded functionally graded carbon nanotube-reinforced composite doubly curved panels with tangentially restrained edges." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 16 (2019): 5848–59. http://dx.doi.org/10.1177/0954406219856374.

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Geometrically nonlinear response of doubly curved panels reinforced by carbon nanotubes exposed to thermal environments and subjected to uniform external pressure are presented in this paper. Carbon nanotubes are reinforced into isotropic matrix through uniform and functionally graded distributions. Material properties of constituents are assumed to be temperature dependent, and effective elastic moduli of carbon nanotube-reinforced composite are determined according to an extended rule of mixture. Basic equations for carbon nanotube-reinforced composite doubly curved panels are established wi
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8

Kumar, L. Ravi, P. K. Datta, and D. L. Prabhakara. "Dynamic instability characteristics of doubly curved panels subjected to partially distributed follower edge loading with damping." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 218, no. 1 (2004): 67–81. http://dx.doi.org/10.1243/095440604322786956.

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The vibration and dynamic instability characteristics of doubly curved panels subjected to partially distributed non-conservative follower load are studied using finite element analysis. The first-order shear deformation theory is used to model the doubly curved panels, considering the effects of shear deformation and rotary inertia. The theory used is the extension of dynamic, shear deformable theory according to Sander's first approximation for doubly curved shells, which can be reduced to Love's and Donnell's theories by means of tracers. The modal transformation technique is applied to the
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9

Sayyaadi, Hassan, and Farhad Rahnama. "On the energy harvesting via doubly curved piezoelectric panels." Journal of Intelligent Material Systems and Structures 27, no. 19 (2016): 2692–706. http://dx.doi.org/10.1177/1045389x16641206.

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10

Hause, Terry, and Liviu Librescu. "Doubly-Curved Anisotropic Sandwich Panels: Modeling and Free Vibration." Journal of Aircraft 44, no. 4 (2007): 1327–36. http://dx.doi.org/10.2514/1.26990.

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11

Singh, A. V. "Free vibration analysis of deep doubly curved sandwich panels." Computers & Structures 73, no. 1-5 (1999): 385–94. http://dx.doi.org/10.1016/s0045-7949(98)00267-3.

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12

Bahadur, Rajendra, A. K. Upadhyay, and K. K. Shukla. "Dynamic Behavior of Curved Panels of Rectangular Planar Form: An Analytical Approach." International Journal of Structural Stability and Dynamics 18, no. 06 (2018): 1850084. http://dx.doi.org/10.1142/s0219455418500840.

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The dynamic behavior of singly and doubly curved panels of the rectangular planar form subjected to different types of loadings is presented. The mathematical formulation is based on the higher order shear deformation theory, and the principle of virtual work is used to derive the equations of motion. The fast converging finite double Chebyshev series and Houbolt time-marching scheme are used for evaluating the dynamic response of the panel. The effect of the magnitude and duration of pulse loadings on the transverse central displacement and bending moment responses is evaluated for different
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13

Askari, Mahmoud, Eugenio Brusa, and Cristiana Delprete. "Electromechanical Vibration Characteristics of Porous Bimorph and Unimorph Doubly Curved Panels." Actuators 9, no. 1 (2020): 7. http://dx.doi.org/10.3390/act9010007.

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The aim of this study is developing an analytical solution for the free vibration of piezoelectric bimorph and unimorph doubly curved panels with a porous substrate. The panel is assumed to be relatively thick, and the effects of its shear deformation are taken into account. Nonlinear models are considered to describe the variation of mechanical properties and of the electric potential within porous host and piezoelectric layers, respectively. Furthermore, short and open circuit electrical conditions are studied to predict the frequency response for sensing and actuation applications. Employin
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14

Tuan, Trinh Anh, Tran Minh Tu, Tran Huu Quoc, and Nguyen Van Loi. "VIBRATION ANALYSIS OF CROSS-PLY LAMINATED COMPOSITE DOUBLY CURVED SHALLOW SHELL PANELS WITH STIFFENERS." Vietnam Journal of Science and Technology 55, no. 3 (2017): 382. http://dx.doi.org/10.15625/2525-2518/55/3/8823.

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In this paper, the analytical solution for the cross-ply laminated composite double curved shell panels with stiffeners is presented. Based on the smeared stiffeners technique and the first shear deformation theory (FSDT), the motion equations are derived by applying the Hamilton’s principle. The Navier’s solution for the simply supported boundary condition for all edges is presented. The numerical results are verified with the known results in the literature. The effects of the number of stiffeners, dimensions of stiffeners, and lamination scheme of cross-ply laminated composite doubly curved
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15

Singh, A. V., and V. Kumar. "On Free Vibrations of Fiber Reinforced Doubly Curved Panels, Part 1: Formulation/Convergence Study." Journal of Vibration and Acoustics 120, no. 1 (1998): 287–94. http://dx.doi.org/10.1115/1.2893819.

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This paper presents a Ritz-type numerical scheme for the analysis of doubly curved laminated open panels. The fundamental strain-displacement relations and energy expressions are developed in orthogonal curvilinear coordinates. Higher-order shear deformation theory and the effects of rotary inertia are included in the formulation. The displacement fields are prescribed by Bezier surface patches and the procedure to implement the boundary conditions in this context is also described. The numerical method is developed such that any arbitrary open panel bounded by four curved edges can be analyze
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16

UDAR, RATNAKAR S., and P. K. DATTA. "PARAMETRIC COMBINATION RESONANCE CHARACTERISTICS OF DOUBLY CURVED PANELS SUBJECTED TO NON-UNIFORM HARMONIC EDGE LOADING." International Journal of Structural Stability and Dynamics 05, no. 04 (2005): 615–39. http://dx.doi.org/10.1142/s0219455405001751.

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This paper is concerned with the problem of occurrence of combination resonances in parametrically excited doubly curved panels. The dynamic instability of doubly curved panels, subjected to non-uniform in-plane harmonic loading is investigated. Sander's first-order shear deformation theory is used to model the doubly curved panels, considering the effects of transverse shear deformation and rotary inertia. The theory can be reduced to Love's and Donnell's theories by means of tracers. Analytical expressions for the instability regions are obtained at Ω = ωm+ ωn(Ω is the excitation frequency a
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17

Evans, K. E. "The design of doubly curved sandwich panels with honeycomb cores." Composite Structures 17, no. 2 (1991): 95–111. http://dx.doi.org/10.1016/0263-8223(91)90064-6.

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18

Huang, N. N., and T. R. Tauchert. "Thermally induced vibration of doubly curved cross-ply laminated panels." Journal of Sound and Vibration 154, no. 3 (1992): 485–94. http://dx.doi.org/10.1016/0022-460x(92)90781-r.

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19

Stark, Alexander, Martin Classen, Christian Knorrek, Benjamin Camps, and Josef Hegger. "Sandwich panels with folded plate and doubly curved UHPFRC facings." Structural Concrete 19, no. 6 (2018): 1851–61. http://dx.doi.org/10.1002/suco.201700288.

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20

RAVI KUMAR, L., P. K. DATTA, and D. L. PRABHAKARA. "TENSION BUCKLING AND VIBRATION BEHAVIOUR OF CURVED PANELS SUBJECTED TO NON-UNIFORM In-PLANE EDGE LOADING." International Journal of Structural Stability and Dynamics 02, no. 03 (2002): 409–23. http://dx.doi.org/10.1142/s0219455402000579.

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The buckling and vibration behaviour of curved panels subjected to various in-plane tensile edge loadings are studied using the finite element method. The first order shear deformation theory is used to model the doubly curved panels, considering the effects of transverse shear deformation and rotary inertia. The theory used is extended from the dynamic, shear deformable theory based on the Sander's first approximation for doubly curved shells, which can be reduced to Love's and Donnell's theories by means of tracers. The in-plane non-uniform internal stresses are obtained as the plane elastic
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21

Trang, Le Thi Nhu, and Hoang Van Tung. "Thermomechanical nonlinear stability of pressure-loaded CNT-reinforced composite doubly curved panels resting on elastic foundations." Nonlinear Engineering 8, no. 1 (2019): 582–96. http://dx.doi.org/10.1515/nleng-2018-0077.

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Abstract Nonlinear stability of nanocomposite spherical and cylindrical panels reinforced by carbon nanotubes (CNTs), resting on elastic foundations and subjected to uniform external pressure in thermal environments is investigated in this paper. CNTs are embedded into matrix phase through uniform distribution (UD) or functionally graded (FG) distribution, and effective properties of CNT-reinforced composite are estimated through an extended rule of mixture. Governing equations are based on classical shell theory taking geometrical nonlinearity, initial geometrical imperfection and panel-found
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22

Biswas, S., P. K. Datta, and C. D. Kong. "Static and dynamic instability characteristics of curved laminates with internal damage subjected to follower loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 225, no. 7 (2011): 1589–600. http://dx.doi.org/10.1177/0954406211399977.

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This article deals with the study of vibration, buckling, and dynamic instability characteristics in damaged cross-ply and angle-ply curved laminates under uniform, uniaxial follower loading, using finite element approach. First-order shear deformation theory is used to model the doubly curved panels and is formulated according to Sandars' first approximation. Damage is modelled using an anisotropic damage formulation. Analysis is carried out on plate and three types of curved panels to obtain vibration, buckling, and dynamic instability (flutter) behaviour. The effect of damage on natural fre
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23

Oktem, Ahmet Sinan, and Reaz A. Chaudhuri. "Levy type Fourier analysis of thick cross-ply doubly curved panels." Composite Structures 80, no. 4 (2007): 475–88. http://dx.doi.org/10.1016/j.compstruct.2006.05.020.

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24

Kiani, Y., M. Sadighi, and M. R. Eslami. "Dynamic analysis and active control of smart doubly curved FGM panels." Composite Structures 102 (August 2013): 205–16. http://dx.doi.org/10.1016/j.compstruct.2013.02.031.

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25

Dindarloo, Mohammad Hassan, Li Li, Rossana Dimitri, and Francesco Tornabene. "Nonlocal Elasticity Response of Doubly-Curved Nanoshells." Symmetry 12, no. 3 (2020): 466. http://dx.doi.org/10.3390/sym12030466.

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In this paper, we focus on the bending behavior of isotropic doubly-curved nanoshells based on a high-order shear deformation theory, whose shape functions are selected as an accurate combination of exponential and trigonometric functions instead of the classical polynomial functions. The small-scale effect of the nanostructure is modeled according to the differential law consequent, but is not equivalent to the strain-driven nonlocal integral theory of elasticity equipped with Helmholtz’s averaging kernel. The governing equations of the problem are obtained from the Hamilton’s principle, wher
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26

Tung, Hoang Van, Nguyen Dinh Kien, and Le Thi Nhu Trang. "Thermal postbuckling analysis of FG-CNTRC doubly curved panels with elastically restrained edges using Reddy's higher order shear deformation theory." Vietnam Journal of Mechanics 42, no. 3 (2020): 307–20. http://dx.doi.org/10.15625/0866-7136/15309.

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For the first time, postbuckling behavior of thick doubly curved panels made of carbon nanotube reinforced composite (CNTRC), under preexisting external pressure and subjected to uniform temperature rise is analyzed in this paper. Carbon nanotubes (CNTs) are reinforced into matrix through functionally graded (FG) distribution patterns, and effective properties of CNTRC are determined according to extended rule of mixture. Formulations are based on a higher order shear deformation theory including Von Karman-Donnell nonlinearity, initial geometrical imperfection and elasticity of tangential con
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27

Mehar, Kulmani, Pradeep Kumar Mishra, and Subrata Kumar Panda. "Thermal buckling strength of smart nanotube-reinforced doubly curved hybrid composite panels." Computers & Mathematics with Applications 90 (May 2021): 13–24. http://dx.doi.org/10.1016/j.camwa.2021.03.010.

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28

Li, Zhi-Min, Tao Liu, and Pizhong Qiao. "Buckling and Postbuckling of Anisotropic Laminated Doubly Curved Panels under Lateral Pressure." International Journal of Mechanical Sciences 206 (September 2021): 106615. http://dx.doi.org/10.1016/j.ijmecsci.2021.106615.

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29

Kar, Vishesh Ranjan, and Subrata Kumar Panda. "Large-Amplitude Vibration of Functionally Graded Doubly-Curved Panels Under Heat Conduction." AIAA Journal 55, no. 12 (2017): 4376–86. http://dx.doi.org/10.2514/1.j055878.

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30

Singha, Maloy K., L. S. Ramachandra, and J. N. Bandyopadhyay. "Thermomechanical Postbuckling Response and First-Ply Failure Analysis of Doubly Curved Panels." AIAA Journal 41, no. 12 (2003): 2486–91. http://dx.doi.org/10.2514/2.6849.

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31

Singh, Vijay K., and Subrata K. Panda. "Nonlinear free vibration analysis of single/doubly curved composite shallow shell panels." Thin-Walled Structures 85 (December 2014): 341–49. http://dx.doi.org/10.1016/j.tws.2014.09.003.

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32

Huang, N. N., and T. R. Tauchert. "Large deflections of laminated cylindrical and doubly-curved panels under thermal loading." Computers & Structures 41, no. 2 (1991): 303–12. http://dx.doi.org/10.1016/0045-7949(91)90433-m.

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33

Hause, Terry, and Liviu Librescu. "Dynamic response of doubly-curved anisotropic sandwich panels impacted by blast loadings." International Journal of Solids and Structures 44, no. 20 (2007): 6678–700. http://dx.doi.org/10.1016/j.ijsolstr.2007.03.006.

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34

Tornabene, Francesco, and Erasmo Viola. "Static analysis of functionally graded doubly-curved shells and panels of revolution." Meccanica 48, no. 4 (2012): 901–30. http://dx.doi.org/10.1007/s11012-012-9643-1.

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35

Zamani, H. A. "Free vibration of doubly-curved generally laminated composite panels with viscoelastic matrix." Composite Structures 258 (February 2021): 113311. http://dx.doi.org/10.1016/j.compstruct.2020.113311.

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36

Kabir, Humayun R. H., and Reaz A. Chaudhuri. "Free vibration of shear-flexible anti-symmetric angle-ply doubly curved panels." International Journal of Solids and Structures 28, no. 1 (1991): 17–32. http://dx.doi.org/10.1016/0020-7683(91)90045-h.

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37

Pouresmaeeli, S., and S. A. Fazelzadeh. "Frequency analysis of doubly curved functionally graded carbon nanotube-reinforced composite panels." Acta Mechanica 227, no. 10 (2016): 2765–94. http://dx.doi.org/10.1007/s00707-016-1647-9.

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38

SAHU, S. K., and P. K. DATTA. "PARAMETRIC INSTABILITY OF DOUBLY CURVED PANELS SUBJECTED TO NON-UNIFORM HARMONIC LOADING." Journal of Sound and Vibration 240, no. 1 (2001): 117–29. http://dx.doi.org/10.1006/jsvi.2000.3187.

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39

Oktem, Ahmet Sinan, and Reaz A. Chaudhuri. "Fourier analysis of thick cross-ply Levy type clamped doubly-curved panels." Composite Structures 80, no. 4 (2007): 489–503. http://dx.doi.org/10.1016/j.compstruct.2006.05.028.

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40

Kabir, Humayun R. H., Abdullateef M. Al-Khaleefi, and Mai Al-Marzouk. "Double orthogonal set of solution functions for cross-ply laminated shear flexible cylindrical/doubly curved panels." Composite Structures 59, no. 2 (2003): 189–98. http://dx.doi.org/10.1016/s0263-8223(02)00236-2.

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41

Awaji, Hiroki, and Kosuke Akita. "Verification of Flexible Cable-net Formwork Method for GFRC Panel Manufacturing Using Structural and Physical Optimization." Journal of the International Association for Shell and Spatial Structures 65, no. 4 (2024): 259–67. https://doi.org/10.20898/j.iass.2024.016.

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The cable-net formwork method has attracted attention as a low-cost and environmentally friendly way to realize free-form concrete shells. In this method, the doubly-curved surface of the membrane is controlled through wire end position and tension; Block Research Group has clarified the design process[1], which has been used to realize large-scale prototypes[2][3]. On the other hand, few studies have examined items necessary for application to actual architectural production, such as accuracy and formwork reusability. In this study, cable-net formwork is applied to the manufacture of curved G
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42

Sahu, S. K., M. K. Rath, and R. Sahoo. "Parametric Instability of Laminated Composite Doubly Curved Shell Panels Subjected to Hygrothermal Environment." Advanced Materials Research 383-390 (November 2011): 3212–16. http://dx.doi.org/10.4028/www.scientific.net/amr.383-390.3212.

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The dynamic stability behavior of laminated composite shells subjected to hygrothermal loadings are studied in the present investigation. A simple laminated model is developed for the vibration and stability analysis of laminated composite shells subjected to hygrothermal conditions. A computer program based on FEM in MATLAB environment is developed to perform all necessary computations. An eight-node isoparametric element is employed in the present The analysis with five degrees of freedom per node. Element elastic stiffness matrices, mass matrices, geometric stiffness matrix due to mechanica
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43

Girish, J., and L. S. Ramachandra. "Nonlinear Static Response and Free Vibration Analysis of Doubly Curved Cross-Ply Panels." Journal of Aerospace Engineering 20, no. 1 (2007): 45–52. http://dx.doi.org/10.1061/(asce)0893-1321(2007)20:1(45).

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44

Zhang, Jiazhong, and Dick H. van Campen. "Stability and bifurcation of doubly curved shallow panels under quasi-static uniform load." International Journal of Non-Linear Mechanics 38, no. 4 (2003): 457–66. http://dx.doi.org/10.1016/s0020-7462(01)00069-5.

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45

Hause, Terry, Liviu Librescu, and Charles J. Camarda. "Postbuckling of anisotropic flat and doubly-curved sandwich panels under complex loading conditions." International Journal of Solids and Structures 35, no. 23 (1998): 3007–27. http://dx.doi.org/10.1016/s0020-7683(97)00360-0.

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46

Librescu, L., and M. Y. Chang. "Imperfection sensitivity and postbuckling behavior of shear-deformable composite doubly-curved shallow panels." International Journal of Solids and Structures 29, no. 9 (1992): 1065–83. http://dx.doi.org/10.1016/0020-7683(92)90136-h.

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47

Mahapatra, T. R., and S. K. Panda. "Thermoelastic Vibration Analysis of Laminated Doubly Curved Shallow Panels Using Non-Linear FEM." Journal of Thermal Stresses 38, no. 1 (2014): 39–68. http://dx.doi.org/10.1080/01495739.2014.976125.

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48

Chaudhuri, Reaz A., and Humayun R. H. Kabir. "Boundary-discontinuous fourier analysis of doubly-curved panels using classical shallow shell theories." International Journal of Engineering Science 31, no. 11 (1993): 1551–64. http://dx.doi.org/10.1016/0020-7225(93)90031-o.

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49

Yazdani Sarvestani, H., A. H. Akbarzadeh, and A. Mirabolghasemi. "Structural analysis of size-dependent functionally graded doubly-curved panels with engineered microarchitectures." Acta Mechanica 229, no. 6 (2018): 2675–701. http://dx.doi.org/10.1007/s00707-018-2120-8.

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50

Viola, Erasmo, Francesco Tornabene, and Nicholas Fantuzzi. "Stress and Strain Recovery of Laminated Composite Doubly-Curved Shells and Panels Using Higher-Order Formulations." Key Engineering Materials 624 (September 2014): 205–13. http://dx.doi.org/10.4028/www.scientific.net/kem.624.205.

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The present paper investigates the static behaviour of doubly-curved laminated composite shells and panels. A two dimensional Higher-order Equivalent Single Layer approach, based on the Carrera Unified Formulation (CUF), is proposed. The differential geometry is used for the geometric description of shells and panels. The numerical solution is calculated using the generalized differential quadrature method. The through-the-thickness strains and stresses are computed using a three dimensional stress recovery procedure based on the shell equilibrium equations. Sandwich panels are considered with
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