This study focuses on the shape optimization of concrete gravity dams considering dam–water–foundation interaction and nonlinear effects subject to earthquake. The concrete gravity dam is considered as a two–dimensional structure involving the geometry and material nonlinearity effects. For the description of the nonlinear behavior of concrete material under earthquake loads, the Drucker–Prager...

Being inspired by the recent studies of photonic crystal waveguides and circuits, we analyze nonlinear stationary modes localized in waveguide bends, in the framework of the discrete nonlinear Schrödinger equation for a planar geometry. We introduce a simple model of a waveguide bend and examine the interplay between discreteness, nonlinearity and geometry for the existence and stability of non...

the constitutive relationships of the rubber materials that act as the main spring of a hydraulic engine mount are nonlinear. in addition to material induced nonlinearity, further nonlinearities may be introduced by mount geometry, turbulent fluid behavior, temperature, boundary conditions, decoupler action, and hysteretic behavior. in this research all influence the behavior of the system only...

A general formalism to solve nonlinear differential equations is given. Solutions are found and reduced to those of second order nonlinear differential equations in one variable. The approach is uniformized in the geometry and solves generic nonlin-ear systems. Further properties characterized by the topology and geometry of the associated manifolds may define global properties of the solutions.

Camera calibration is essential to obtain 3D information from 2D image, for underwater camera self-calibration, because the linear model can not accurately describe the imaging geometry of real cameras, the underwater camera nonlinear model and its calibration method are studied. According to the relationship between underwater and air in the camera focal length, principal point and no vertical...