Dynamics of a Three-Dimensional Overhead Crane System

Mathematical Modeling of a Moving Planar Payload Pendulum on Flexible Portal Framework

“…The dependency is a bidirectional coupling, where elastic support of the payload pendulum motion offered by vibration of portal framework. This result is also found by [3] and [5].…”

Experimental and numerical investigation of the earthquake response of crane bridges

“…If the quantities of interest are the bending moments or reaction forces M and R respectively , a similar relation holds for their dimensionless counterparts ) /( Since equation (6) has three more variables than equation (1), there are nine dimensionless variables in equation (7) instead of six in equation (2). It is worth noting that the ratio of elastic forces to seismic forces used in equation (2), 1  , is, now, replaced by three ratios, The above similarity is equivalent to the gravity similarity as far as bending behavior is concerned only.…”

“…Surprisingly, to the authors' knowledge, a very few experimental and analytical research work in this field has been done in the past. The dynamics of elastic continua with moving loads has been covered by Fryba [1] and more recent work presents the approximate analytical solutions [2][3][4][5][6] and finite element solutions [7,8] to similar problems. Regarding the earthquake response of these structures, not many publications can be found in the literature.…”

Dynamic interaction between the structure and the trolley of high performance gantry cranes

“…Pretpostavljeno je da se klaćenje tereta vrši samo u vertikalnoj ravni što je kasnije prošireno na razmatranje oscilacija grede u vertikalnoj i horizontalnoj ravni, [43], pri čemu se i klaćenje tereta odvija prostorno, slika 2.2.…”

“…Model mosne dizalice sa teretom [43] Wu je u radu [44] uveo koncept pokretne matrice mase radi implementacije inercijalnih efekata pokretne mase na dinamičko ponašanje strukture portalne dizalice. Pritom, razmatrani su trapezni profili brzina kretanja pokretnog sistema.…”