A numerical study based on Higher-order Shear Deformation Theories (HSDTs) is here implemented to study the vibration response of laminated and/or latticed shell structures made of composite materials. This is in line with the increased demand for complex shell geometries and generation principles in many engineering applications. Laminates, Functionally Graded Materials (FGMs), Carbon Nanotubes (CNTs) reinforced media, Variable Angle Tow (VAT) composites, are only few examples of advanced materials that could require proper structural models for an accurate analysis. At the same time, anisogrid latticed shells made of advanced materials, are extensively adopted in designs of aerospace structures due to their high mass efficiency [1,2], see e.g. their applications as mechanical interface between spacecraft and launcher, interstage sections of the launcher, and load-carrying bodies of spacecraft structures, among others. Current approaches to the vibration analysis of these complex materials and structures are based either on the finite-element modeling or on the application of continuous models. Here, we propose the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods as innovative and efficient numerical tools to obtain and solve the strong and weak formulations of the fundamental systems in hand [3,4]. This methodology allows us to obtain accurate and reliable results, as assessed comparatively against the available literature. A large parametric investigation is performed for different combinations of the geometric and stiffness parameters.

Vibration Analysis of Composite Laminated and Latticed Structures Based on Higher-Order Formulations

Francesco Tornabene
;
Rossana Dimitri
2019

Abstract

A numerical study based on Higher-order Shear Deformation Theories (HSDTs) is here implemented to study the vibration response of laminated and/or latticed shell structures made of composite materials. This is in line with the increased demand for complex shell geometries and generation principles in many engineering applications. Laminates, Functionally Graded Materials (FGMs), Carbon Nanotubes (CNTs) reinforced media, Variable Angle Tow (VAT) composites, are only few examples of advanced materials that could require proper structural models for an accurate analysis. At the same time, anisogrid latticed shells made of advanced materials, are extensively adopted in designs of aerospace structures due to their high mass efficiency [1,2], see e.g. their applications as mechanical interface between spacecraft and launcher, interstage sections of the launcher, and load-carrying bodies of spacecraft structures, among others. Current approaches to the vibration analysis of these complex materials and structures are based either on the finite-element modeling or on the application of continuous models. Here, we propose the Differential Quadrature (DQ) and Integral Quadrature (IQ) methods as innovative and efficient numerical tools to obtain and solve the strong and weak formulations of the fundamental systems in hand [3,4]. This methodology allows us to obtain accurate and reliable results, as assessed comparatively against the available literature. A large parametric investigation is performed for different combinations of the geometric and stiffness parameters.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11587/438093
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