• 제목/요약/키워드: variable.elastic foundation

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Size-dependent free vibration of coated functionally graded graphene reinforced nanoplates rested on viscoelastic medium

  • Ali Alnujaie;Ahmed A. Daikh;Mofareh H. Ghazwani;Amr E. Assie;Mohamed A Eltaher
    • Advances in nano research
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    • 제17권2호
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    • pp.181-195
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    • 2024
  • This study introduces a novel functionally graded material model, termed the "Coated Functionally Graded Graphene-Reinforced Composite (FG GRC)" model, for investigating the free vibration response of plates, highlighting its potential to advance the understanding and application of material property variations in structural engineering. Two types of coated FG GRC plates are examined: Hardcore and Softcore, and five distribution patterns are proposed, namely FG-A, FG-B, FG-C, FG-D, and FG-E. A modified displacement field is proposed based on the higher-order shear deformation theory, effectively reducing the number of variables from five to four while accurately accounting for shear deformation effects. To solve the equations of motion, an analytical solution based on the Galerkin approach was developed for FG GRC plates resting on a viscoelastic Winkler/Pasternak foundation, applicable to various boundary conditions. A comprehensive parametric analysis elucidates the impact of multiple factors on the fundamental frequencies. These factors encompass the types and distribution patterns of the coated FG GRC plates, gradient material distribution, porosities, nonlocal length scale parameter, gradient material scale parameter, nanoplate geometry, and variations in the elastic foundation. Our theoretical research aims to overcome the inherent challenges in modeling structures, providing a robust alternative to experimental analyses of the mechanical behavior of complex structures.

수직증축시 기존말뚝과 보강말뚝의 하중분담율 및 축강성 분석 (A Study on the Load Distribution Ratio and Axial Stiffness on Existing and Reinforcing-Pile in Vertical Extension Remodeling)

  • 정상섬;조현철
    • 한국지반공학회논문집
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    • 제35권1호
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    • pp.17-30
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    • 2019
  • 본 연구는 3차원 수치해석을 통해 기존말뚝과 보강말뚝의 하중분담율(Load Distribution Ratio)과 근사적 해석 기법으로 보강말뚝의 축방향 강성(Axial Stiffness)을 산정하였다. 시공단계를 고려하여 말뚝기초의 LDR에 영향을 미치는 인자를 파악하기 위해서 1) 말뚝기초의 강성, 2) 말뚝기초의 선단지지조건, 3) 기초판 접촉효과, 4) 보강말뚝의 설치위치에 따라 해석을 수행하여 기존말뚝과 신설말뚝의 하중분담율 거동을 확인하였다. 또한 5) 기존말뚝의 축방향 강성($K_{ve}$)를 사용하여 말뚝지지 전면기초의 3차원 근사적 해석기법(YSPR)으로 보강말뚝의 직경에 따른 강성($K_{vr}$)을 산정하고, 장기간 사용으로 인한 경화를 고려하여 $K_{ve}$를 3단계로 나누어 감소시켜 보강말뚝의 강성 변화의 경향을 살펴보고, 신설 말뚝의 강성 산정방법을 제시하였다.