Die Werke Von Johann I Und Nicolaus II Bernoulli: Band 6: Mechanik I

ISBN-13: 9783764373672 / Niemiecki / Twarda / 2007 / 695 str.

Johann Bernoulli; Nicolaus Bernoulli;Villaggio Piero

Opis

Johann Bernoulli is well known in the history of mechanics for his solution of the brachistochrone problem and for his first formulation of the principle of virtual works. However, his interests extend beyond to cover almost all areas of classical mechanics including rigid bodies motions, oscillations of pendula, impacts, motions of planets, and elastic beam deformation. Bernoulli is an acute observer of physical phenomena. His problems are always inspired by concrete examples, like the work of a crane, the manoeuvre of a rudder, the inflation of a sail.

Spis treści

Differential statics.- Dynamics.- Various mechanical and dynamical propositions.- Problems concerning rigid triangular wedges.- Criticism of de la Hire’s analysis.- Central forces.- The living forces.- Bernoulli’s notion of living forces and applications.- Manuscripts on mechanics.- Elasticity.- Problems concerning strings.- Vibrating strings.- Further solutions to the equations of the catenary.- A solution for the Elastica.- Multiple pendula.- Manuscripts on elasticity.

Blurb

This volume on mechanics of rigid and elastic bodies contains early papers concerning geometric statics, accompanied by works dealing with the motion of compound pendula and the deformation of beams. The papers on mechanics in this volume do not encompass the area of hydraulics, which occupies approximately one half of the papers dealing with mechanical problems and which are included in volume 7. This collection constitutes, roughly, one eighth of the entire work written by Bernoulli.