Inverse design of frames for specified second-order bending strains

Citation
T. Nakamura et H. Ito, Inverse design of frames for specified second-order bending strains, J STRUC ENG, 127(5), 2001, pp. 579-586
Citations number
15
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Civil Engineering
Journal title
JOURNAL OF STRUCTURAL ENGINEERING-ASCE
ISSN journal
0733-9445 → ACNP
Volume
127
Issue
5
Year of publication
2001
Pages
579 - 586
Database
ISI
SICI code
0733-9445(200105)127:5<579:IDOFFS>2.0.ZU;2-D
Abstract
A new inverse design method for frames has been presented by means of an in verse formulation including frame stability effects. Elastic building frame s in non-earthquake-prone areas, designed primarily for light horizontal wi nd loads, are considered. Governing equations based on the well-known secon d-order slope-deflection equations are derived for fundamental problems for a set of specified member-end fiber bending strains, as a target performan ce. An explicit expression for the solution stiffnesses is obtained for a h ybrid-inverse problem. Further consideration is given for a class a here th e member stiffness set is determined only by a strain mode such as for a fr ame consisting of columns under central compression. It is demonstrated tha t the strain mode of an entire multistory frame can be synthesized by overl apping of the strain modes of decomposed unit frames. The design formulas f ur the simple models in this paper not only have disclosed the essential ch aracteristics of design solutions but also play the role of initial backbon e solutions in the neighborhood of which perturbed solutions can be derived for problems under more practical conditions.