Closed-form buckling analysis of compressively loaded composite plates braced by omega-stringers

Mittelstedt, Christian; Beerhorst, Matthias

doi:10.1016/j.compstruct.2008.05.021

Cited by 45 publications

(4 citation statements)

References 11 publications

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“…The selection of profile types and the sizing of their shape parameters is an important step in structural design (IASB, 2009). The choice of profile type has a significant effect on the support conditions of the stiffened shell (Mittelstedt and Beerhorst, 2009). Design feature So far, the position, orientation, and the section geometry of stiffeners were discussed.…”

Section: Profilementioning

confidence: 99%

Definition and representation of stiffened shell structures in the context of an integrated development process

Krieglsteiner

Horst

Schmidt

2019

AEAT

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Purpose A novel development process aims at finding solutions for lightweight stiffened shell structures and their efficient production. To respect the strong interdependency of structural design and production planning, particularly observed for composite structures, it is of high interest to start considering production effects in early development phases. This integrated approach requires an integrated representation of structure and production. The purpose of this study is to investigate the scope of relevant data and to find a structure for its representation. Design/methodology/approach The development task is analyzed and a system of so-called solution dimensions is presented, which covers all important aspects of stiffened shell structures and their production. An integrated product data model is developed to cover all of the solution dimensions. Findings The product data model consists of five coherent partial models. It is explained how these models are defined and how they are connected to each other. An academic example of an aircraft fuselage panel is used to demonstrate the definition process. It is shown how even complex structural concepts are defined systematically. Practical implications It is explained how this integrated product data model is used in a software project for the development of aircraft fuselage structures. Originality/value The presented approach for the definition and representation of stiffened shell structures enables the developer, e.g. of aircraft fuselage, to respect the crucial criterion of manufacturability from early development phases on. Further, new design approaches, e.g. as inspired by topology optimization, can be considered.

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Section: Profilementioning

confidence: 99%

Definition and representation of stiffened shell structures in the context of an integrated development process

Krieglsteiner

Horst

Schmidt

2019

AEAT

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“…Herein, SFSR and SRSR plates are considered. The Lévy-type solution used here for the SRSR plate is applied to an omega-stringer-stiffened panel in [18]. A detailed consideration of the Lévy-type solution in relation to SFSR and SRSR laminates can be found in [19].…”

Section: Introductionmentioning

confidence: 99%

Lévy-type solutions for the buckling analysis of unsymmetrically laminated plates with rotational restraints for various plate theories

Schreiber

Mittelstedt

2023

Arch Appl Mech

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The stability behaviour of unsymmetrical laminated structures made of fibre-reinforced plastics is significantly influenced by bending–extension coupling and the comparatively low transverse shear stiffnesses. The aim of this work is to improve the analytical stability analysis of unsymmetrically laminated structures. With the discrete plate theory, the stability of laminated structures can be reduced to single laminated plates. The structure is divided into individual segments, and the surrounding structure is modelled by rotational elastic restraints. The governing equations for single plates under specific boundary conditions can be solved exactly with Lévy-type solutions. In this study, Lévy-type solutions for the mentioned boundary conditions under biaxial compressive load is described for the classical laminated plate theory, the first-order shear deformation theory and the third-order shear deformation theory (TSDT). In addition to transverse shear, bending–extension couplings of unsymmetrical cross-ply and antisymmetrical angle-ply laminates are considered. For the implementation of boundary conditions for the rotational restraints in the context of TSDT, a new set of conditions is formulated. The investigation shows very good agreement of the buckling load with comparative finite element analyses for different layups.

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“…Since the vibration of a plate is susceptible to sound radiation, the vibroacoustic behavior of plate structures has thus become an important topic of research. Recently, many papers [1][2][3][4][5][6][7][8][9][10] have been devoted to the vibro-acoustics of plates with regular boundary conditions subjected to various loads. Since, in practical applications, elastically restrained plates are important structural parts, a number of researchers have formulated some general methods for the vibro-acoustic analysis of elastically restrained rectangular thin isotropic plates [11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Vibro-Acoustic Formulation of Elastically Restrained Shear Deformable Orthotropic Plates Using a Simple Shear Deformation Theory

Kam¹,

Nayan²

2021

J. Mod. Mech. Eng. Technol.

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A method is presented for vibro-acoustic analysis of elastically restrained orthotropic shear deformable plates subjected to excitation forces at different locations. The vibration of the shear deformable plate is formulated on the basis of the Ritz method and a simple first-order shear deformation theory in which 4 rather than 5 displacement components are used to simulate the deformation of the plate. The accuracy of the modal characteristics (natural frequency and mode shape) of an orthotropic plate predicted using the proposed method is verified by those obtained using other methods. The vibration responses of the plate are used in the first Rayleigh integral to construct the sound pressure level (SPL) curves of the plate subjected to excitation forces at different locations. The suitability of the present method for sound radiation analysis is validated by comparing the SPL curve obtained using the present method with those obtained using the other methods. The effects of different system parameters on the SPL curve of the plate are studied by means of several numerical examples. It has been shown that excitation location has significant effects on the smoothness of the SPL curve.

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Closed-form buckling analysis of compressively loaded composite plates braced by omega-stringers

Cited by 45 publications

References 11 publications

Definition and representation of stiffened shell structures in the context of an integrated development process

Definition and representation of stiffened shell structures in the context of an integrated development process

Lévy-type solutions for the buckling analysis of unsymmetrically laminated plates with rotational restraints for various plate theories

Vibro-Acoustic Formulation of Elastically Restrained Shear Deformable Orthotropic Plates Using a Simple Shear Deformation Theory

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