Allowing structures to rock during an earthquake can effectively provide base isolation at a relatively small cost. Rocking limits the shear demand and provides self-centering, but rocking response depends on energy dissipation caused by interaction with soil impacts re-centering. This paper addresses computational modeling of buildings that have either been designed beneath their foundation (f...

stability and safety analysis of dams is a subject which has been studied in recent years by several researchers. researchers have used various methods and models for studying the stability of the dam. several methods are proposed for the analysis of earth dams under earthquakes. some of these methods are viscoelastic methods and semi static methods. each of these methods can be used as an appr...

In this paper, the nonlinear conjugate map is applied based on the conjugate Hasofer-Lind and Rackwitz- Fiessler (CHL-RF) method to evaluate the reliability index using the first order reliability method of the embedded nanocomposite beam, which is made of a polymer reinforced with carbon nanotubes (CNTs). The structure is simulated with the Timoshenko beam model. The Mori-Tanaka model is appli...

Nonlinear optical materials comprise the foundation of modern photonics, offering functionalities ranging from ultrafast lasers to optical switching, harmonic and soliton generation. Optical nonlinearities are typically strong near the electronic resonances of a material and thus provide limited tuneability for practical use. Here we show that in plasmonic nanorod metamaterials, the Kerr-type n...

Received: February 5, 2018 Revised: February 23, 2018 Accepted: February 26, 2018 Abstract: Background: The analysis of piled foundations, where horizontal environmental loads play a very important role, has taken foundation design a step further in the 1970s and 80s. Nonlinear analyses considering P-y, T-z and Q-z curves became the state-of-the-art which also included group effect calculations...

The electromagnetic field is quantized in nonlinear media whose dielectric functions and nonlinear susceptibilities may vary with space. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by this quantization method. From Heisenberg equations we prove that Maxwell’s equations are satisfied for the field operators. ...

Even if numerous studies were dedicated to propose soil-structure interaction analysis methods, most of these methods introduce several assumptions to circumvent the difficulties encountered in modeling and reduce computational efforts. The complex spatial configuration of the soil-foundation interface or the distribution of the soil medium are often simplified using flat-layered soil profiles ...

1. BASIC PROBABILITY THEORY 1.1 Measure-theoretical foundation of probability theory 1.2 Independence 1.3 Borel measurable functions 1.4 Mathematical expectatlon 1.5 Characteristic functions 1.6 Random functions 2. CONVERGENCE 2.1 Heak and strong convergence of random variables 2.2 Convergence of mathematical expectations 2.3 Convergence of distributions 2.4 Central limit theoreras 2.5 Further ...

In spite of its lack of theoretical justiication, nonlinear diiusion ltering has become a powerful image enhancement tool in recent years. The goal of the present paper is to provide a mathematical foundation for continuous nonlinear diiusion ltering as a scale-space transformation which is exible enough to simplify images without loosing the capability of enhancing edges. By studying the Lyapu...