Search results for "extended Ritz method"

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Free vibrations analysis of cracked variable stiffness composite plates by the eXtended Ritz method

2022

Variable stiffness composite laminates show advantageous structural features related to their enlarged design space. They are attractive candidates for advanced engineering applications where the assessment of static and dynamic behavior and strength in the presence of cracks is often required. In the present work, a single-domain extended Ritz formulation is proposed to study the free vibrations of cracked variable stiffness composite plates. The plate model is based on the first-order shear deformation theory whose primary variable, i.e. displacements and rotations, are approximated via a set of orthogonal polynomial trial functions enriched with a set of special crack functions. These fu…

free vibrationscracked platesX-Ritz methodMechanics of MaterialsVariable stiffness compositesMechanical EngineeringGeneral MathematicsGeneral Materials ScienceSettore ING-IND/04 - Costruzioni E Strutture Aerospazialiextended Ritz methodCivil and Structural EngineeringMechanics of Advanced Materials and Structures
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Investigation of buckling characteristics of cracked variable stiffness composite plates by an eXtended Ritz approach

2021

Abstract Variable Angle Tow (VAT) composite plates are characterized by in-plane variable stiffness properties, which opens to new concepts of stiffness tailoring and optimization to achieve higher structural performance for advanced lightweight structures where damage tolerance consideration are often mandatory. In this paper, a single-domain eXtended Ritz formulation is proposed to study the buckling behaviour of variable stiffness laminated cracked plates. The plate behaviour is described by the first order shear deformation theory whose generalized displacements, namely reference plane translations and rotations, are expressed via suitable admissible trial functions. These consist of a …

business.industryMechanical EngineeringBoundary (topology)Stiffness020101 civil engineering02 engineering and technologyBuilding and ConstructionStructural engineering0201 civil engineering020303 mechanical engineering & transports0203 mechanical engineeringBucklingSpecial functionsOrthogonal polynomialsmedicineBoundary value problemmedicine.symptombusinessBuckling Cracked plates Extended Ritz method Variable stiffness X-RitzSettore ING-IND/04 - Costruzioni E Strutture AerospazialiDamage toleranceCivil and Structural EngineeringMathematicsEnergy functional
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