Vibration Problems in Engineering Science—the New Paradigm

Dear Colleagues,

The generalization of the dynamic approach to design, calculation, and certification has radically changed the representation of structures.

Indeed, for the last thirty years, mathematical models have enabled the universal use of operational modal diagnosis and generalized predictive control, making structures more observable and controllable. In fact, the fundamental definition of the structure becomes dynamic. The eigenshape base can be considered as the DNA of the system, which has also revolutionized measurement and digitalization techniques. Modal masses and stiffnesses evolution can even be considered as an indicator for performing design. In addition, the presence and integration of lasers in tests, the dynamic analysis of 3D images, and the emergence of new digital post-finite element methods are among the new techniques that are now classic. However, it is in the nonlinear extensions of dynamic modes that the prospects for knowledge, performance, and safety of structures are most promising. Nonlinear conservative modes are indeed much better known and provide information on the behavior of the structure at the limits of its domain. Entropic dissipation has become a powerful tool for structural diagnosis and control. Fatigue, aging, and damage can now be directly linked to vibration modeling, with possibilities for control and a significant reduction in the number of tests. Finally, structure–fluid vibration interactions, environmental representation, and stochastic vibration models are now fully integrated into certification tools. The stakes are high for aerospace structures, civil engineering, and light systems.

This Special Issue of Applied Sciences is quite remarkable in this period of change in structural mathematics and certification and brings together first-rate articles at the cutting edge of science in this field. The period for this publication is perfect, as we anticipate great evolution in structural models and tests.

Prof. Dr. Yves GOURINAT
Guest Editor

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• operational modal diagnosis
• generalized predictive control
• eigenshapes
• structural dissipation
• digital structural model
• optimized measures
• vibroacoustics
• shell fluid interaction
• stochastic dynamic model