Prior to developing expensive prototype systems in engineering and sciences, it is well known that computational methods are often called into inquiry. In order to allow prototyping of engineering systems to be in greater confidence, the degree of correlation between computational modeling predictions and experimental results has to be adequate. Accordingly, the aim of this special issue is to bring together the leading researchers of dynamics and vibration including applied mathematicians and allow them to share their original research work. Mathematical theory, numerical simulation, physical experiments with advanced computational investigations, engineering design, and their various engineering applications are included in this issue. More specifically, vibration problems of engineering structures (e.g., beams, plates, shells) will be emphasized, and new solution technologies along with composite, smart, modern structures and vibration control will also be discussed.

As of today, vibration analysis of complex-shaped structures is commonly encountered in aeronautical, marine, mechanical, and civil structural designs. Accordingly, these shapes need to be analysed from engineering point of view with good accuracy along with easy fast computational methods. Analysis and design of such structures call for efficient computational tools. FEM, FDM, BEM, and other machine intelligence techniques, namely, ANN, Fuzzy logic, and GA, are the standard industry approach to deal with such situations. But the analysis of complex-shaped structural systems/components along with various complicating effects is based on numerous approximations. These lead sometimes to inaccuracies and more computing time. As such, the present issue will address recent trends of the computational methods that may be used in the said vibration problems. Potential topics include (related to various vibration problems as mentioned above), but are not limited to:

• Finite element, boundary element, and finite difference methods
• Method of weighted residuals and boundary characteristic orthogonal polynomials methods
• Machine intelligence methods, namely, artificial neural network, fuzzy method, and other hybrid methods, etc.
• Optimization methods, namely, genetic algorithm, swarm, support vector machine, and hybrid methods
• Recent analytical methods and other new and advanced computational and numerical methods

Authors are invited to present original research and review articles in the above-related topics.

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aav/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/ according to the following timetable: