Structural systems often show nonlinear behavior under severe excitations generated by natural hazards. In that condition, the restoring force becomes highly nonlinear showing significant hysteresis. The hereditary nature of this nonlinear restoring force indicates that the force cannot be described as a function of the instantaneous displacement and velocity. Accordingly, many hysteretic restoring force models were developed to include the time dependent nature using a set of differential equations. This survey contains a review of the past, recent developments and implementations of the Bouc-Wen model which is used extensively in modeling the hysteresis phenomenon in the dynamically excited nonlinear structures.

The Hysteresis Bouc-Wen Model, a Survey

The present state-of-the-art article is devoted to the analysis of new trends and recent results carried out during the last 10 years in the field of fractional calculus application to dynamic problems of solid mechanics. This review involves the papers dealing with study of dynamic behavior of linear and nonlinear 1DOF systems, systems with two and more DOFs, as well as linear and nonlinear systems with an infinite number of degrees of freedom: vibrations of rods, beams, plates, shells, suspension combined systems, and multilayered systems. Impact response of viscoelastic rods and plates is considered as well. The results obtained in the field are critically estimated in the light of the present view of the place and role of the fractional calculus in engineering problems and practice. This articles reviews 337 papers and involves 27 figures. DOI: 10.1115/1.4000563

Application of Fractional Calculus for Dynamic Problems of Solid Mechanics: Novel Trends and Recent Results

An estimation model for the heating and cooling demand of a residential building with a different envelope design using the finite element method

Finite elements in the analysis of pressure vessels and piping, an addendum: A bibliography (2001–2004)

Dynamic response of offshore jacket structures under random loads

Full Dynamic Analysis of Offshore Platform Structures Using Exact Timoshenko Pipe Element

Seismic response of large concrete tower structures with passive or active damping is important in terms of performance under earthquake loads. The conventional finite element method has been used successfully in linear and nonlinear analyses in large concrete structures. The method can be performed by subdividing the large structure into small uniform elements having approximate shape functions. Although this replaces a single complicated structural system with a number of simple uniform elements, in cases of tall concrete tower structures with cracking and crushing behaviour in the concrete material and yielding in the reinforcement, the computer time and memory can be large. Hence, it is desirable to search for a procedure requiring fewer elements and also less computer time and effort to model the structure. In this respect, attention is paid to the advanced complex damped spectral element method, which benefits from the more accurate and also mathematically complicated shape functions. Use of the advanced spectral element method can help engineers to design a complex structure, such as a tall concrete tower, with lower cost and lower weight. Using a computer program, the proposed formulation has been used to derive the nonlinear dynamic response of the 435-m Tehran Telecommunication Tower. Copyright © 2002 John Wiley & Sons, Ltd.

Seismic analysis of Tehran Telecommunication Tower using complex fractional modulus

Based on the complex spectral element method and the theory of fractional calculus, a hybrid complex damped spectral element method is developed. The new method is capable of making accurate predictions of the full dynamic behaviour of reinforced concrete cooling tower structures including soil-structure interaction effects. The dynamic soil-structure interaction of large space shell structures can be analysed using hybrid spectral-finite element method where the seismic wave propagation in the soil media has been modelled using the spectral element method. The frequency-dependent damping characteristic of soil materials can also be modelled accurately using the fractional derivative model. It is shown that the proposed method can be extended to develop a frequency domain dynamical method to analyse damped large space structures under earthquake excitation. The soil-structure dynamical solution is shown graphically, and the consistency of method is investigated. Using a computer program, the proposed form...

Full Dynamic Analysis of Large Concrete Cooling Towers: Soil-Structure Interaction:

One of the major divisions in analysis and design of tall buildings is to account for forces induced by flying-object impact and the subsequent progressive collapse. During the past three decades, problems of contact mechanics have been considered by some authors, and special attention has been devoted to high-speed impact. Impact wave propagation in tall buildings may be analysed using the conventional finite element method. However, in order to guarantee stability and accuracy of the solution, the number of elements used to model the structure may be very large indeed; more precisely, accurate results can be obtained after a substantial computational effort. In this respect, an improved complex spectral element method is developed for analysing the wave propagation problems in large structures. The purpose of this paper is to obtain the resulting dynamic responses of a tall building induced by a high-speed impact of a flying object. Copyright © 2003 John Wiley & Sons, Ltd.

Impact wave propagation in tall buildings using advanced spectral element method

One of the important parameters in analysis and design of large space structures is to account for the possible forces induced by flying object impact and the subsequent progressive collapse. Conventional finite element methods have been used successfully in linear and nonlinear dynamic analyses of large space structures. During the past three decades, problems of contact mechanics have also been considered by some authors, and special attention has been devoted to high speed impact. Impact wave propagation in space structures may be analyzed using the conventional finite element method. However, in order to guarantee stability and accuracy of the solution, the number of elements used to model the structure may be very large indeed; more precisely, accurate results can be obtained only after a substantial computational effort. In this respect, the spectral element method (SEM) is developed for analyzing the wave propagation problems in large space structures. Using a computer program, the proposed formula...

M. Safi

Papers

Full Dynamic Analysis of Offshore Platform Structures Using Exact Timoshenko Pipe Element

Seismic analysis of Tehran Telecommunication Tower using complex fractional modulus

Full Dynamic Analysis of Large Concrete Cooling Towers: Soil-Structure Interaction:

Impact wave propagation in tall buildings using advanced spectral element method

Simulation of Impact Effects on Large Space Structures Using Advanced SE Method