TECHNICAL PAPERS
Mar 1, 1986

Step‐Load Response Analysis by Generalized Functions

Publication: Journal of Engineering Mechanics
Volume 112, Issue 3

Abstract

Blast loads on structures are conveniently represented by means of Heaviside step functions. Due to the non‐differentiability of these functions the analytical handling (integration by parts) fails quickly. This problem can be successfully overcome by applying the theory of generalized functions. Calculations for rectangular plates are presented for illustration.

Get full access to this article

View all available purchase options and get full access to this article.

References

1.
Flügge, W., Handbook of Engineering Mechanics, McGraw Hill, New York, NY, 1962.
2.
Stakgold, I., Boundary Value Problems of Mathematical Physics, Vol. I, The Macmillan Co., London, England, 1972.
3.
Doetsch, G., “Funktionaltransformationen,” Mathematische Hilfsmittel des Ingenieurs, Teil, 1, Sauer/Szabo, Eds., Springer Verlag, 1967.
4.
Papoulis, A., The Fourier Integral and Its Applications, McGraw Hill, New York, NY, 1962.
5.
Laugwitz, D., Ingenieur‐Mathematik IV, Hochschultaschenbücher Bd 62, Bibliografiscbes Institut Mannheim, 1967.
6.
Lighthill, M. J., Einführung in die Theorie der Fourier‐Analysis und der verallgemeinerten Funktionen, Hochschultaschenbücher Bd 139, Bibliografisches Institut Mannheim, 1966.
7.
Kessler, E., “Stochastic Simulation of Shelter Equipment Vibration Due to Nuclear Explosions,” Proceedings 8th International Symposium on Military Applications of Blast Simulation (MAB S. 8), 1983.
8.
Kessler, E., Stochastische Simulation von Schutzraumerschütterungen infolge Nuklearexplosionen, AC‐Laboratorium Spiez, Switzerland, 1984.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 112Issue 3March 1986
Pages: 311 - 321

History

Published online: Mar 1, 1986
Published in print: Mar 1986

Permissions

Request permissions for this article.

Authors

Affiliations

Erwin Kessler
Civ. Engr., Consultant, CH 9546 Tuttwil, Switzerland
Hans Brauchli
Prof., Dept. of Engrg. Mechanics, Federal Inst. of Technology, Zurich, Switzerland

Metrics & Citations

Metrics

Citations

Download citation

If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.

View Options

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Get Access

Access content

Please select your options to get access

Log in/Register Log in via your institution (Shibboleth)
ASCE Members: Please log in to see member pricing

Purchase

Save for later Information on ASCE Library Cards
ASCE Library Cards let you download journal articles, proceedings papers, and available book chapters across the entire ASCE Library platform. ASCE Library Cards remain active for 24 months or until all downloads are used. Note: This content will be debited as one download at time of checkout.

Terms of Use: ASCE Library Cards are for individual, personal use only. Reselling, republishing, or forwarding the materials to libraries or reading rooms is prohibited.
ASCE Library Card (5 downloads)
$105.00
Add to cart
ASCE Library Card (20 downloads)
$280.00
Add to cart
Buy Single Article
$35.00
Add to cart

Media

Figures

Other

Tables

Share

Share

Copy the content Link

Share with email

Email a colleague

Share