e-book

Exact Solutions for Buckling of Structural Members

---

In his book “Structural Design via Optimality Criteria”, George Rozvany articulates William Prager’s personal preferences in research on structural mechanics which may be summarized as:
• Research should reveal some fundamental and unexpected features of the structural problem studied.
• Closed form analytical solutions are preferable to numerical ones because the latter often obscure intrinsic features of the solution.
• Proofs should be based, whenever possible, on principles of mechanics rather than advanced mathematical concepts in order to make them comprehensible to the majority of engineers.
• The most challenging and intellectually stimulating problems should be selected in preference to routine exercises.

A large number of papers published in the high impact factored journals bear testimony to the fact that many researchers do subscribe to Professor Prager’s research values. The authors, in particular, found it challenging to obtain closed form analytical solutions which elucidate the intrinsic, fundamental and unexpected features of the solution. It is this interest for analytical solutions that drove the authors to collate the closed form buckling solutions of columns, beams, arches, rings, plates and shells that are dispersed in the vast literature into a single volume.

Here, we define a closed form solution as one that can be expressed in terms of a finite number of terms and it may contain elementary or common functions such as harmonic or Bessel functions (special functions such as hypergeometric functions will be excluded). In elastic buckling, the solution (critical buckling load) may indeed sometimes be of closed form, but these solutions are few. We have therefore expanded the contents of this book to include closed form characteristic equations that furnish the critical buckling load. We admit that these characteristic equations could be transcendental and do not yield a closed form buckling solution. However, nowadays a simple root search (such as the bisection technique) would yield the buckling load to any desired accuracy. What is not included in this book are buckling loads that require solution of partial or ordinary differential equations by numerical methods.

---

Ketersediaan

Tidak ada salinan data

Informasi Detail

Judul Seri

CRC Series in COMPUTATIONAL MECHANICS and APPLIED ANALYSIS

No. Panggil

-

Penerbit

New York : CRC Press LLC., 2004

Deskripsi Fisik

TA656.2.W36 - 624.1'76—dc22

Bahasa

English

ISBN/ISSN

0-8493-2222-7

Klasifikasi

-

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

Computational mechanics and applied analysis ; 6

Subjek

MATEMATIKA

Info Detail Spesifik

-

Pernyataan Tanggungjawab

agus

Versi lain/terkait

Lampiran Berkas

Komentar

---

Anda harus masuk sebelum memberikan komentar