Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations

• Published in: Probabilistic engineering mechanics Vol. 59; p. 103043
• Main Authors: Spanos, Pol D., Malara, Giovanni
• Format: Journal Article
• Language: English
• Published: Barking Elsevier Ltd 01.01.2020; Elsevier Science Ltd
• Subjects: Beam; Combined loads; Differential equations; Harmonic analysis; Harmonic balance; Mathematical analysis; Nonlinear equations; Nonlinear systems; Plate; Plates; Random loads; Random process; Statistical linearization; Statistics; Studies; Time dependence; Vibration; Vibration control; Vibration mode; Beam; Random process; Combined loads; Statistical linearization; Harmonic balance; Plate
• ISSN: 0266-8920; 1878-4275
• DOI: 10.1016/j.probengmech.2020.103043

This paper proposes an efficient approach for estimating reliably the second order statistics of the response of continua excited by combinations of harmonic and random loads. The problem is relevant in several engineering applications, where, for instance, the harmonic load is influenced by signifi...