Nonlocal elasticity theory for lateral stability analysis of tapered thin-walled nanobeams with axially varying materials

Multi-objective optimization of lateral stability strength of transversely loaded laminated composite beams with varying I-section

“…This method is used properly for tapered isotropic and composite beams. [2][3][9][10] In the case of simply-simply supported beam subjected to uniformly distributed load, as shown in Figure 2, the internal bending moment along the length element is…”

“…Due to the importance of using tapered thin-walled beams having open and close cross-sections in different engineering fields such as steel frames, decks of the bridge, mechanical, and especially aeronautical components, the static and dynamic analyses of thin-walled structural elements with various end conditions under different loading cases have been widely studied in recent decades. [1][2][3][4][5][6][7][8][9][10] Lateral torsional-buckling is one of the instability modes in which the slender and laterally unbraced tapered thin-walled open section beam subjected to bending about its strong axis may suddenly buckle in a flexural-torsional mode. The web and flanges tapering parameters, the load height position, internal bending moment, and boundary conditions are the main factors affecting the lateral-torsional buckling strength of thin-walled beams with varying cross-section.…”

“…The web and flanges tapering parameters, the load height position, internal bending moment, and boundary conditions are the main factors affecting the lateral-torsional buckling strength of thin-walled beams with varying cross-section. 1,2,9,10 With the development in high technology and fabrication processes, the practical applications of thin-walled laminate composite structural components have been extensively come into vogue in many advanced and innovative engineering systems such as axles of vehicles, space structures, helicopter rotors, wind turbine blades, and aircraft wings. The main reason for this increase is the conspicuous features 1 of fiber-reinforced composite materials, for instance, high fatigue resistance, durability, corrosion resistance, and high stiffness-to-weight and strength-to-weight ratios.…”

“…The web and flanges tapering parameters, the load height position, internal bending moment, and boundary conditions are the main factors affecting the lateral-torsional buckling strength of thin-walled beams with varying cross-section. 1,2,9,10…”

Nonlocal Analysis of the Flexural–Torsional Stability for FG Tapered Thin-Walled Beam-Columns

“…The following stability model represents an extension of the formulation proposed in Ref. [ 94 ] for non-prismatic thin-walled nanobeam-columns with an arbitrary distribution of the material properties in the axial direction, whose numerical outcomes could be useful for the development and design of thin-walled structures, such as scanning tunneling microscopes with nonuniform nanobeams at tunneling tips. Due to the rapid development of nanoscience, the stability of FG nanobeams with variable thin-walled cross sections represents one of their key design benefits, as here explored theoretically via nonconventional Eringen nonlocal elasticity, and numerically via the DQM.…”