Application of nonlocal continuum theory to the primary resonance analysis of an axially loaded nano beam under time delay control

DOI10.1016/j.apm.2020.03.039zbMath1481.74451OpenAlexW3024917649MaRDI QIDQ2049714

Wenquan Wang, Yan Yan, Chunxia Liu

Publication date: 27 August 2021

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2020.03.039

zbMATH Keywords

multiple scales methodaxial loadsmall scale effectsnano beamvelocity time delay

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Nonlinear resonances for nonlinear problems in mechanics (70K30)

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Cites Work

• An improved time-delay saturation controller for suppression of nonlinear beam vibration
• A higher-order nonlocal elasticity and strain gradient theory and its applications in wave propagation
• Dynamic stability of electrostatically actuated initially curved shallow micro beams
• Using the delayed feedback control and saturation control to suppress the vibration of the dynamical system
• Non-linear vibrations of cantilever beams with feedback delays
• Non-resonant response, bifurcation and oscillation suppression of a non-autonomous system with delayed position feedback control
• A new finite element method for strain gradient theories and applications to fracture analyses
• Experiments and theory in strain gradient elasticity.
• Vibration of nonlocal Kelvin-Voigt viscoelastic damped Timoshenko beams
• Bending, buckling and free vibration analysis of size-dependent functionally graded circular/annular microplates based on the modified strain gradient elasticity theory
• Size-dependent nonlinear dynamics of a microbeam based on the modified couple stress theory
• Resonance and chaos of micro and nano electro mechanical resonators with time delay feedback
• Primary and secondary resonance analyses of a cantilever beam carrying an intermediate lumped mass with time-delay feedback
• Static bending and free vibration of organic solar cell resting on Winkler-Pasternak elastic foundation through the modified strain gradient theory
• Size effect in the bending of a Timoshenko nanobeam
• Applications of the integral equation method to delay differential equations
• The effect of time-delayed feedback controller on an electrically actuated resonator
• Nonlocal polar elastic continua
• Free transverse vibrations of nano-to-micron scale beams