Publisher Summary This chapter focuses on statistical relations between excitation and response processes for a broad range of structural elements including beams, cables, arches, plates, membranes, and shells. The analysis of the dynamic response of continuous structures under random excitation was initiated in connection with Brownian motion (Van Lear and Uhlenbeck, 1931). More recent developments arose out of work on aerospace problems connected with jet-noise excitation. The chapter presents general formulations and a number of solution procedures. It focuses on approximate procedures. The chapter highlights experimental procedures and presents a few comparisons between measurements and analytical predictions. Special consideration is given to stationary wide-band excitation of uniform structures. Under certain circumstances, the random response distributions exhibit patterns that become asymptotically very simple as the number of responding modes increases.
[1]
G. SenGupta.
Current Developments in Interior Noise and Sonic Fatigue Research
,
1975
.
[2]
K. Itao,et al.
Wide-Band Random Vibration of Circular Plates
,
1978
.
[3]
Arthur W. Leissa,et al.
Vibration of Plates
,
2021,
Solid Acoustic Waves and Vibration.
[4]
Jack E. Cermak,et al.
Applications of Fluid Mechanics to Wind Engineering—A Freeman Scholar Lecture
,
1975
.
[5]
Michael P. Païdoussis.
Vibration of Cylindrical Structures Induced by Axial Flow
,
1974
.
[6]
G. Uhlenbeck,et al.
The Brownian Motion of Strings and Elastic Rods
,
1931
.