Einführung in die Technische Mechanik: Kinetik - download pdf or read online

By Herbert Balke

ISBN-10: 3540894489

ISBN-13: 9783540894483

Die knappe Darstellung des Buches stellt eine Fortsetzung des Werkes "Einführung in die Technische Mechanik / Statik" dar. Die gewählte Vorgehensweise betont die gemeinsamen Grundlagen von Statik, Festigkeitslehre und Kinetik. Sie eröffnet damit auch einen direkten Weg zum Verständnis der modernen Kontinuumsmechanik als Grundlage computergestützter Berechnungsmethoden.

Das Buch behandelt die Kinematik des Punktes und des starren Körpers. In der anschließenden Kinetik wird zunächst in didaktisch bewährter Weise die rein translatorische Bewegung starrer Körper betrachtet. Es folgt die Behandlung allgemeiner Bewegungen mit Anwendung auf ebene Fälle und die reine Drehung. Weitere spezielle Auswertungen der kinetischen Grundgesetze betreffen Schwingungen mit verschiedenem Freiheitsgrad, Stoßvorgänge und Rotorbewegungen im Raum. Für Körpersysteme mit Zwangsbedingungen werden die Grundgesetze in die Lagrangeschen Gleichungen zweiter artwork umgeformt. Im Hinblick auf die zunehmende Verbreitung von computergestützten Berechnungsmethoden wird abschließend die Formulierung des elastokinetischen Anfangsrandwertproblems angeboten. Mit zahlreichen Aufgaben und vollständig durchgerechneten Lösungen.

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Example text

Ft bf This is the ratio of the wasted force to the useful force, and we see that it becomes zero when the system is driven at resonance. k / Driving at a frequency above resonance. l / Driving at resonance. m / Driving at a below resonance. (2) 2πbf However, we wish to know the amplitude in terms of —F—, not |Ft |. From now on, let’s drop the cumbersome magnitude symbols. With the Pythagorean theorem, it is easily proven that F [3] Ft = , (3) 1+ Fr Ft 2 and equations 1-3 can then be combined to give the final result F [4] A= .

Anyone who has actually surfed knows that the front of the board pushes the water to the sides, creating a wake — the surfer can even drag his hand through the water, as in in figure f. If the water was moving along with the wave and the surfer, this wouldn’t happen. The surfer is carried forward because forward is downhill, not because of any forward flow of the water. If the water was flowing forward, then a person floating in the water up to her neck would be carried along just as quickly as someone on a surfboard.

As we have seen already, the reason why the response of an oscillator is smaller away from resonance is that much of the driving force is being used to make the system act as if it had a different k. Roughly speaking, the half-maximum points on the graph correspond to the places where the amount of the driving force being wasted in this way is the same as the amount of driving force being used productively to replace the energy being dumped out by the damping force. 3 Putting Energy Into Vibrations 35 is needed to counteract it, and we can waste quite a bit of driving force on changing k before it becomes comparable to the damping force.

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Einführung in die Technische Mechanik: Kinetik (Springer-Lehrbuch) by Herbert Balke

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