MECHANIK UND FESTIGKEITSLEHRE KABUS PDF

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Mechanik Und Festigkeitslehre Kabus Pdf

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Report this link. Kabus The earliest meeting places were probably no more than conveniently situated open areas. Their form was whatever existed in nature and their suitability to purpose was haphazard.

As the need arose to address large groups for entertainment, military, or political purposes, it became apparent that concentric circles brought the greatest number of people close to the central area.

Since the human voice is directional and intelligibility decreases as the listener moves off axis, seating arrangements were defined by the vocal polar pattern and developed naturally, as people sought locations yielding the best audibility.

This led to the construction of earthen or stone steps, arranging the audience into a semicircle in front of the speaker. The need to improve circulation and permanence evolved in time to the construction of dedicated amphitheaters on hillsides based on the same vocal patterns. Greeks The Greeks, perhaps due to their democratic form of government, built some of the earliest outdoor amphitheaters.

One of the best-preserved examples of Greco-Hellenistic theaters is that built at Epidaurus in the northeastern Peloponnese in BC, about the time of Aristotle.

A sketch of the plan is shown in Fig. The seating was steeply sloped in these structures, typically , which afforded good sight lines and reduced grazing attenuation.

Architectural Acoustics (eBook)

Even with these techniques, it is remarkable that this theater, which seated as many as 17, people, actually functioned. Figure 1. Chariot wheels in Asia Minor were heavy, whereas those of the Greeks were light since they had to operate on rocky ground.

To achieve high speed, the older Asian design was modified, so that the four-spoke wheels were smaller and the wooden rims were highly stressed and made to be very flexible.

They were so light that if left overnight under the weight of the chariot they would undergo deformation due to creep.

The wheels were mounted on light cantilevered shafts and the vehicle itself was very flexible, to help isolate the rider from ground-induced vibrations. Greek music and dance were highly developed arts.

There is strong evidence that the actors wore masks that were fitted out with small megaphones to assist in increasing the directivity of the voices.

It is not surprising that the Greek orator Demosthenes c.

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Intelligibility was enhanced, not only by the steeply raked seating, but also by the naturally low background noise of a preindustrial society. The chorus in Greek plays served both as a musical ensemble, as we use the term today, and as a group to chant the spoken word.

They told the story and explained the action, particularly in the earlier plays by Aeschylus Izenour, They may have had a practical as well as a dramatic purpose, which was to increase the loudness of the spoken word through the use of multiple voices. Our knowledge of the science of acoustics also dates from the Greeks. Although there was a general use of geometry and other branches of mathematics during the second and third millennia BC, there was no attempt to deduce these rules from first principles in a rigorous way Dimarogonas, The origination of the scientific method of inquiry seems to have begun with the Ionian School of natural philosophy, whose leader was Thales of Miletus — BC , the first of the seven wise men of antiquity.

While he is better known for his discovery of the electrical properties of amber electron in Greek , he also introduced the logical proof for abstract propositions Hunt, that led in time to the formal mathematics of geometry, based on the theorem-proof methods of Euclid — BC. Pythagoras of Samos c.

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He traveled to Babylon, Egypt, and probably India before establishing his own school at Crotone in southern Italy. Pythagoras is best known for the theorem that bears his name, although it was discovered much earlier in Mesopotamia.

He and his followers made important contributions to number theory and to the theory of music and harmony.

Boethius AD — , a Roman scholar writing a thousand years later, reports that Pythagoras discovered the relationship between the weights of hammers and the consonance of their natural frequencies of vibration.

He is also reported to have experimented with the relationship between consonance and the natural frequencies of vibration of stretched strings, pipes, shells, and filled vessels.Das Originaldrehbuch by J.

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