Eugenia Claudia Cojocaru, Hans Irschik, Kurt Schlacher,
"Concentrations of Pressure Between an Elastically Supported Beam and a Moving Timoshenko-Beam"
, in Mircea Grigoriu, in Journal of Engineering Mechanics, Vol. 129, ASCE, Seite(n) 1076-1082, 2003, ISSN: 0733-9399

Original Titel:

Concentrations of Pressure Between an Elastically Supported Beam and a Moving Timoshenko-Beam

Sprache des Titels:

Englisch

Original Kurzfassung:

The present paper is concerned with the motion of an elastically supported beam that carries an elastic beam moving at constant speed. This problem provides a limiting case to the assumptions usually considered in the study of trains moving on rail tracks. In the literature, the train is commonly treated as a moving line-load with space-wise constant intensity, or as a system of moving rigid bodies supported by single springs and dampers. In extension, we study an elastically supported infinte beam, which is mounted by an elastic beam mvoing at a constant speed. Both beams are considered to have distributed stiffness and mass. The moving beam represents the train, while the elastically supported infinte beam models the railway track. The two beams are connected by an interface modeled as an additional continuous elastic foundation. Here, we follow a strategy by Stephen P. Timoshenko, who showed that a beam on discrete elastic supports could be modeled as a beam on a continuous elastic Winkler (one-parameter) foundation without suffering a substantial loss inaccuracy. The celebrated Timoshenko theory of shear deformable beams with rotatory intertia is used to formulate the equations of motion of the two beams under consideration. The resulting system of ordinary differential equations and boundary conditions is solved by means of the powerful methods of symbolic computation. We present a nondimensional study on the influence of the train stiffness and the interface stiffness upon the pressure distribution between train and railway track. Considerable pressure concentrations are found to take place at the ends of the moving train.

Sprache der Kurzfassung:

Englisch

Englischer Titel:

Concentrations of Pressure Between an Elastically Supported Beam and a Moving Timoshenko-Beam

Englische Kurzfassung:

The present paper is concerned with the motion of an elastically supported beam that carries an elastic beam moving at constant speed. This problem provides a limiting case to the assumptions usually considered in the study of trains moving on rail tracks. In the literature, the train is commonly treated as a moving line-load with space-wise constant intensity, or as a system of moving rigid bodies supported by single springs and dampers. In extension, we study an elastically supported infinte beam, which is mounted by an elastic beam mvoing at a constant speed. Both beams are considered to have distributed stiffness and mass. The moving beam represents the train, while the elastically supported infinte beam models the railway track. The two beams are connected by an interface modeled as an additional continuous elastic foundation. Here, we follow a strategy by Stephen P. Timoshenko, who showed that a beam on discrete elastic supports could be modeled as a beam on a continuous elastic Winkler (one-parameter) foundation without suffering a substantial loss inaccuracy. The celebrated Timoshenko theory of shear deformable beams with rotatory intertia is used to formulate the equations of motion of the two beams under consideration. The resulting system of ordinary differential equations and boundary conditions is solved by means of the powerful methods of symbolic computation. We present a nondimensional study on the influence of the train stiffness and the interface stiffness upon the pressure distribution between train and railway track. Considerable pressure concentrations are found to take place at the ends of the moving train.

Journal:

Journal of Engineering Mechanics

Veröffentlicher:

ASCE

Volume:

129

Seitenreferenz:

1076-1082

Erscheinungsjahr:

2003

ISSN:

0733-9399

Anzahl der Seiten:

7

Notiz zur Publikation:

Cojocaru E.C., Irschik H., Schlacher K.: Concentrations of Pressure Between an Elastically Supported Beam and a Moving Timoshenko-Beam In: Journal of Engineering Mechanics, Vol. 129, No. 9, ISSN 0733-9399, pp. 1076-1082, 2003.