Excerpt from Untersuchungen Über die Stabilität der Elastischen Linie in Ebene und Raum, Unter Verschiedenen Grenzbedingungen
Von diesen wird durch die Grenzbedingungen (in der weiter unten zu besprechenden Weise) eine ganz bestimmte mit der Belegung versehene Kurve y, z ausgeschieden diese liefert ein tatsächliches Minimum des Integrals in dem verlangten Sinne unter zwei Vor aussetzungen 1)
About the Publisher
Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com
This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
"synopsis" may belong to another edition of this title.
Shipping:
FREE
From United Kingdom to U.S.A.
Seller: Forgotten Books, London, United Kingdom
Paperback. Condition: New. Print on Demand. This book analyzes the stability of an elastic wire under the influence of varying boundary conditions. The author, a mathematician, demonstrates that the potential energy inherent in the wire's form, under the constraint of given boundary conditions, can be used to determine which configurations are stable equilibria. The study extends previous research that exclusively relied on the method of small oscillations to determine stability, which introduces unaddressed complexities. The author begins with a description of the problem, then develops the necessary equations in detail. Following, the author presents the solutions to several cases, including the wire fixed at both ends, fixed at one end and free at the other, and fixed at one end with a weight attached to the other, demonstrating the book's significant value to those in the field of mathematics, especially those interested in differential equations, variational calculus, and applied mathematics. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9780282278519_0
Quantity: Over 20 available
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282278519
Quantity: 15 available
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9780282278519
Quantity: 15 available