A simple mathematical model for approximate analysis of tall buildings

A CLOSED FORM SOLUTION FOR FREE VIBRATION ANALYSIS OF TUBE-IN-TUBE SYSTEMS IN TALL BUILDINGS

In this paper the dynamic response of tube-in-tube systems for tall building structures is investigated. Inner and outer tubes are modeled using equivalent continuous orthotropic membranes; in which, each tube is individually modeled by a cantilever box beam. By applying the compatibility conditions on deformation of the two tubes, the governing dynamic equations of the tube-in-tube structure a...

A Mathematical Model for Analysis of Upright Perforated Wave Absorbers

On the basis of the continuity equation and the Bernoulli equation in the steady form, a differential equation is developed to evaluate the successive water levels within compartments of an upright perforated wave absorber. Then the initial and boundary conditions are introduced and the differential equation is solved as an initial value problem. Finally the reflection coefficient from the wave...

investigating the feasibility of a proposed model for geometric design of deployable arch structures

deployable scissor type structures are composed of the so-called scissor-like elements (sles), which are connected to each other at an intermediate point through a pivotal connection and allow them to be folded into a compact bundle for storage or transport. several sles are connected to each other in order to form units with regular polygonal plan views. the sides and radii of the polygons are...

A Simple One-dimensional Model of Collapse of Some Tall Buildings

We develop one-dimensional model of an avalanche to examine the destruction of World Trade Center (WTC) 2 on September 11, 2001, after the building was hit by an airplane. Its main ingredient is the way the building opposes the progress of the avalanche, which is expressed in terms of a reaction force R at the location of the collapse front (a moving interface between the building and the avala...

Numerical Analysis of a Simple Mathematical Model to Design Bioremediation System in Rhizosphere