✦ LIBER ✦

SOLUTION OF DYNAMIC RESPONSE OF FRAMED STRUCTURE USING PIECEWISE BIRKHOFF POLYNOMIAL

✍ Scribed by J.L. LIU

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 116 KB
Volume: 251
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.2001.4014

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, the piecewise Birkho! interpolation polynomials and the modal superposition method were employed for the solution of dynamic response of m.d.o.f. system. The related formulae are derived. Because an exact result can be obtained when each loading can be represented by a piecewise polynomial, the proposed method not only can considerably reduce computational e!ort compared to the traditional step-by-step integration solution technique, but also can thoroughly avoid the problems of accuracy, convergence and stability encountered in many other numerical procedures.

2002 Elsevier Science Ltd.

📜 SIMILAR VOLUMES

Solution of dynamic response of SDOF sys

Solution of dynamic response of SDOF system using piecewise Lagrange polynomial

✍ J. L. Liu 📂 Article 📅 2001 🏛 John Wiley and Sons 🌐 English ⚖ 66 KB

## Abstract As an extension of the procedure in which an arbitrary dynamic loading is approximated by piecewise linear segments, the second‐ and third‐degree piecewise Lagrangian interpolating polynomials are employed to approximate an arbitrary dynamic loading in the Duhamel integral for the solut

Dynamic response of framed structures

✍ Claës Dyrbye 📂 Article 📅 1986 🏛 John Wiley and Sons 🌐 English ⚖ 355 KB

Response of infilled frames using pseudo

Response of infilled frames using pseudo-dynamic experimentation

✍ Mosalam, Khalid M.; White, Richard N.; Ayala, Gustavo 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 420 KB

An accurate and practical testing technique to study seismic performance of multi-storey infilled frames is formulated. This technique is based on the pseudo-dynamic method which can provide an acceptable approximation of the dynamic performance of structures under the influence of earthquake excita

Solution of piecewise constant delay sys

Solution of piecewise constant delay systems using hybrid of block-pulse and Chebyshev polynomials

✍ H. R. Marzban; M. Shahsiah 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 135 KB

## Abstract An efficient numerical method for finding the solution of piecewise constant delay systems is presented. The method is based upon hybrid of block‐pulse functions and Chebyshev polynomials. The operational matrix of delay is constructed. The properties of hybrid functions together with t

Seismic response control of frame struct

Seismic response control of frame structures using magnetorheological/electrorheological dampers

✍ Xu, Y. L.; Qu, W. L.; Ko, J. M. 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 212 KB 👁 2 views

Semi-active control of buildings and structures for earthquake hazard mitigation represents a relatively new research area. Two optimal displacement control strategies for semi-active control of seismic response of frame structures using magnetorheological (MR) dampers or electrorheological (ER) dam

VIBRATION ANALYSIS FOR FRAME STRUCTURES

VIBRATION ANALYSIS FOR FRAME STRUCTURES USING TRANSFER OF DYNAMIC STIFFNESS COEFFICIENT

✍ D.H. MOON; M.S. CHOI 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 152 KB

In this paper, the authors formulate a free and forced vibration analysis algorithm for frame structures using the transfer dynamic sti!ness coe$cient method. This method is based on the concept of the transfer of the dynamic sti!ness coe$cient which is related to the force and displacement vector a