In a previous paper [4], we adapted Nitsche’s method for the approximation of the linear elastodynamic unilateral contact problem. The space semi-discrete problem was analyzed and some schemes (θ-scheme, Newmark and a new hybrid scheme) were proposed and proved to be well-posed under appropriate CFL conditons. In the present paper we look at the stability properties of the above-mentioned schem...

    The combination of horizontal drilling along with hydraulic fracturing has significantly improved the production of hydrocarbon reservoirs and made it possible to extract the relatively impermeable and uneconomical reservoirs. The production rate of oil and gas wells increases proportional to hydraulic fracture aperture or crack opening displacement (COD). This is an important parameter i...

Abstract The paper presents an exact analytical method for the elastic analysis of steel-concrete composite beams with partial interaction. Accepting basic assumptions Newmark model and adopting axial force in concrete slab as main unknown, second order nonhomogeneous differential equation element interaction is derived. Further, complete solutions simply supported fixed-ended subjected to conc...

A main challenge for performance-based seismic engineering is to develop simple, practical and precise methods for analyzing designed buildings and assessing existing structures to satisfy considerable performance objectives. Pushover analysis is a simplified nonlinear analysis technique that can be implemented for estimating the dynamic demands imposed on a structure under earthquake excitatio...

Many innovative floating offshore structures have been proposed for cost effectiveness of oil and gas exploration and production in water depths exceeding one thousand meters in recent years. One such type of platform is the offshore floating Spar platform. The Spar platform is modelled as a rigid body with six degrees-of-freedom, connected to the sea floor by multicomponent catenary mooring li...

The present work is an extension of the previous one [1] which dealt with error analysis of a finite volume scheme of first order (both in time and space) for second order hyperbolic equations on general nonconforming multidimensional spatial meshes introduced recently in [4]. The aim of this contribution is to get some second–order time accurate schemes for a finite volume method for second or...

Aim of this research is the vibration analysis and control of rotating composite thin-walled beam containing distributed piezoelectric sensors and actuators. The formulation is based on thin-walled, single cell composite beam including the warping function, centrifugal force, Coriolis acceleration and piezoelectric effect. Adaptive capability of thin-walled beam is obtained by PVDF sensor and p...

This paper presents an improved approach where the wavelet functions are developed for particularly two-dimensional (2D) trusses. In the proposed scheme, a clear-cut formulation in a fluent manner has been derived to numerically solve the second-ordered differential equation of motion governing 2D trusses using two different types of basis functions including, complicated Chebyshev and simple H...

Vitamin D and prevention of breast cancer: Pooled analysis Cedric F. Garland a,∗, Edward D. Gorham a, Sharif B. Mohr a, William B. Grant b, Edward L. Giovannucci c, Martin Lipkin d, Harold Newmark e,f, Michael F. Holick g, Frank C. Garland a a University of California, San Diego, Department of Family and Preventive Medicine, 9500 Gilman Drive, 0631C, La Jolla, CA 92093, USA b Sunlight, Nutritio...

Qualification tests on the vibrations of on-board equipment depend ability shaker used to reproduce as precisely possible excitation profiles stipulated by standards, given that real operational conditions are generally multiaxial. Using a set six measured linear accelerations original method proposed permits determining six-axial displacements combining three translations and rotations. Thus, ...