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Finite Element Analysis of Hyperbolic Paraboloid Composite Shells for Static Analysis Under Uniform Pressure

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Proceedings of the International Conference on Modern Research in Aerospace Engineering

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

Abstract

The present study reports finite element analysis of hyperbolic paraboloid composite shells for static analysis under uniform pressure to examine the maximum stresses and deflections. The matrix used in the present study is Epoxy resin reinforced with E-glass fiber. Parameter used for the analysis is rise-to-span-ratio (c/a). The ratio used for the study varies from 0 to 0.5 with linear increment of 0.05. Thickness of composite layer is kept equal in the shell. Eight-nodded iso-parametric shell element with five degrees of freedom on each node is used for the present study. Boundary conditions with all sides clamped, all sides simply supported and alternate sides simply supported and clamped are applied with cross-ply and angle-ply laminations.

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Abbreviations

a, b :

Length and width of the shell in plan

c :

Rise of the hyperbolic paraboloid shell

{d}:

Global displacement vector

{d e }:

Element displacement vector

E1, E2, E3 :

Moduli of elasticity

G12, G23, G13 :

Shear moduli of a lamina

μ12, μ23, μ13 :

Poison’s ratio

RSR:

Rise-to-span ratio

CCCC:

All sides clamped

SSSS:

All sides simply supported

CSCS:

Alternately clamped and simply supported

CP:

Cross-ply laminate

AP:

Angle-ply laminate

u, v, w:

Translational degrees of freedom at each node

α, β:

Rotational degrees of freedom at each node

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Author information

Authors and Affiliations

  1. Department of Civil Engineering, Amity University, Noida, 201313, Uttar Pradesh, India

    Anil Garhwal, Yogesh Kaushik & Sabita Madhvi Singh

  2. Department of Civil Engineering, South Point Technical Campus, Sonepat, 131001, India

    Divya

Authors
  1. Anil Garhwal
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  2. Yogesh Kaushik
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  3. Sabita Madhvi Singh
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  4. Divya
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Corresponding author

Correspondence to Yogesh Kaushik .

Editor information

Editors and Affiliations

  1. Amity Institute of Aerospace Engineering, Amity University, Noida, Uttar Pradesh, India

    Sanjay Singh

  2. DTC Secretariat, Ghaziabad, Uttar Pradesh, India

    Pushkar Raj

  3. Department of Aerospace Engineering and Engineering Mechanics, College of Engineering and Applied Sciences, University of Cincinnati, Cincinnati, Ohio, USA

    Samir Tambe

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Garhwal, A., Kaushik, Y., Singh, S.M., Divya (2018). Finite Element Analysis of Hyperbolic Paraboloid Composite Shells for Static Analysis Under Uniform Pressure. In: Singh, S., Raj, P., Tambe, S. (eds) Proceedings of the International Conference on Modern Research in Aerospace Engineering. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-10-5849-3_20

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  • DOI: https://doi.org/10.1007/978-981-10-5849-3_20

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-5848-6

  • Online ISBN: 978-981-10-5849-3

  • eBook Packages: EngineeringEngineering (R0)

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