Non-local effects on displacement in cylindrical structures

Abstract

This study investigates the influence of non-local effects on displacement variations in polar coordinates for clamped-clamped cylinders, assuming material properties vary as a power function of the thickness coordinate. The displacement expression is derived from a solved differential equation, with particular attention given to the impact of fixation mode on displacement. The findings underscore the importance of non-local factors in determining structural behavior and stress the necessity of considering fixation mode when computing integration constants. Nonlocal effects denote interactions and influences that extend beyond locally observed conditions or alterations within a specific system. Examining clamped-clamped cylinders, this research delves into displacement variations in polar coordinates while considering the influence of non-local effects, assuming material properties change according to a power function of the thickness coordinate. The derivation of the displacement expression from a solved differential equation forms a key aspect, with a specific focus on how fixation mode affects displacement. The study's outcomes highlight the crucial role of non-local factors in shaping structural behavior and underscore the imperative of accounting for fixation mode when calculating integration constants. Focused on clamped-clamped cylinders, this study explores displacement variations in polar coordinates under the influence of non-local effects, presuming material properties to follow a power function of the thickness coordinate. Utilizing a solved differential equation, the investigation derives the displacement expression and scrutinizes how fixation mode impacts displacement. The results elucidate the pivotal significance of non-local factors in delineating structural behavior and stress the requisite consideration of fixation mode in integration constant calculations.