ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Journal Year: 2024, Volume and Issue: unknown
Published: Nov. 3, 2024
Abstract In this study, a novel method is presented to analyze the buckling behavior of single‐walled carbon nanotubes (SWCNTs) using initial value (IVM) in conjunction with approximate transfer matrix, within framework nonlocal elasticity theory. The study aims accurately critical load parameters under various boundary conditions, without encountering high computational requirements. IVM enables computation displacements and stress resultants along entire beam from given conditions. matrix employed system states at different points through successive integration solutions, generating principal needed for ensuring systematic precise results that optimize accuracy analysis. A convergence confirms effectiveness precision proposed method, revealing decrease as parameter increases, applicable across all conditions studied (simply supported, clamped–clamped, clamped–simply clamped‐free). These underscore need incorporate effects more accurate nanostructure mechanics predictions. provides computationally efficient alternative traditional numerical semi‐analytical methods, aiding researchers engineers working SWCNTs other nanomaterials.
Language: Английский