Structural Dynamics in Uncertain Environments: Micro, Nano, and Functionally Graded Beam Analysis

The uncertainties or randomness of the material properties of structural components are of serious concern to engineers.Structural analysis is usually done by taking into account only deterministic or crisp parameters; however, building materials can have the aspects of uncertainty.The causes of this uncertainty or randomness are defects in atomic configurations, measurement errors, environmental conditions, and other factors.The influence of uncertainties is more profound for nanoscale and microstructures due to their small-scale effects.Several nanoscale experiments and molecular dynamics studies also support the claim of possible attachment of randomness for various parameters.With regard to these concerns, it is necessary to propose new models that specifically integrate and effectively overcome imprecisely defined parameters of the system. Structural Dynamics in Uncertain Environments presents the uncertainty modeling of nanobeams, microbeams, and Funtionally Graded (FG) beams usi