On the Quantification of Eigenvalue Curve Veering: A Veering Index

2011 ◽  
Vol 78 (4) ◽  
Author(s):  
Jonathan L. du Bois ◽  
Sondipon Adhikari ◽  
Nick A. J. Lieven
Keyword(s):  
Material Property ◽  
Dynamic Problems ◽  
Stability Studies ◽  
Structural Dynamic ◽  
Numerical Examples ◽  
Physical Conditions ◽  
The Third ◽  
Curve Veering ◽  
Analytical Tools

Eigenvalue curve veering is a phenomenon that has found relevance and application in a variety of structural dynamic problems ranging from localization and stability studies to material property determination. Contemporary metrics for quantifying veering can be ambiguous and difficult to interpret. This manuscript derives three normalized indices in an effort to reconcile the deficit; two of these quantify the physical conditions which produce the behavior while the third provides a definitive measure of the overall intensity of the effect. Numerical examples are provided to illustrate the application of the methods, which are expected to form a basis for the development of advanced analytical tools.

Interval Finite Element Analysis of Structural Dynamic Problems

2015 ◽  
Vol 8 (2) ◽  
pp. 382-389 ◽  
Author(s):  
Naijia Xiao ◽  
Rafi L. Muhanna ◽  
Francesco Fedele ◽  
Robert L. Mullen
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Dynamic Problems ◽  
Element Analysis ◽  
Structural Dynamic

scholarly journals B-splines Algorithms for Solving Fredholm Linear Integro-Differential Equations

2004 ◽  
Vol 1 (2) ◽  
pp. 340-346
Author(s):  
Baghdad Science Journal
Keyword(s):  
Differential Equations ◽  
Spline Function ◽  
Cubic Spline ◽  
Second Order ◽  
Third Order ◽  
B Spline ◽  
Numerical Examples ◽  
B Splines ◽  
The Third ◽  
New Procedures

Algorithms using the second order of B -splines [B (x)] and the third order of B -splines [B,3(x)] are derived to solve 1' , 2nd and 3rd linear Fredholm integro-differential equations (F1DEs). These new procedures have all the useful properties of B -spline function and can be used comparatively greater computational ease and efficiency.The results of these algorithms are compared with the cubic spline function.Two numerical examples are given for conciliated the results of this method.

scholarly journals An Optimized Symmetric WENO Method-Based Numerical Simulation of Intense Sound Field Generated by Underwater Plasma Sound Source

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Kaizhuo Lei ◽  
Xiaolong Liu ◽  
Ning Li ◽  
Xuchao Fan
Keyword(s):  
Euler Equations ◽  
Sound Source ◽  
Sound Field ◽  
Maximum Error ◽  
Numerical Examples ◽  
Weighted Essentially Nonoscillatory ◽  
The Third ◽  
Calculation Results ◽  
Pulse Sound ◽  
Fifth Order

The intensive pulse sound wave can be generated by the underwater plasma sound source (UPSS) based on the discharge of the underwater high voltage. The distribution of the sound field is prominently nonlinear. In this paper, the sound field of the intensive UPSS is described by the integral two-dimensional axisymmetric unsteady Euler equations firstly. In order to solve the Euler equations numerically, an optimized fifth-order symmetric WENO (weighted essentially nonoscillatory) method based on the three templates is proposed which is called WENO-SYM3. Without increasing the number of candidate templates, a new symmetric template structure can be obtained by expanding the second template and shifting the third one backwards for one space. The method is validated through numerical examples and experiments, and the results show that WENO-SYM3 has a high distinguished accuracy; meanwhile, its nonphysical oscillations are not obvious. The experimental results are basically the same as the calculation results, and the maximum error is around 3%.

scholarly journals Third International Conference on Islamic Economics

1992 ◽  
Vol 9 (3) ◽  
pp. 427-431
Author(s):  
Muhammad Anwar
Keyword(s):  
Higher Learning ◽  
Development Bank ◽  
The West ◽  
International Conference ◽  
The Third ◽  
Institutions Of Higher Learning ◽  
Analytical Tools

The Third International Conference on Islamic Economics was held inKuala Lumpur, Malaysia, during 23-25 Rajah 1412/28-30 January 1992 underthe auspices of Malaysia's International Islamic University (IIU) and in collaborationwith the Islamic Development Bank (IDB) and the International Associationof Islamic Economics (IAIE).In his welcome address, 'AbdulHamid AbiiSulayman, rector, IIU, KualaLumpur, Malaysia, stressed that Islam provides an alternative to the economicsystem of the West and its reformed model, Marxism, which has collapsed.The conference was opened by Datuk Sri Anwar Ibrahim, financeminister of Malaysia, and was concluded by Datuk Amar Dr. Sulaiman Hj.Daud, education minister of Malaysia. While recognizing the importance ofimplementing Islamic principles in areas such as trade and finance, AnwarIbrahim felt that efforts to promote growth and generate wealth are morepressing. He stressed the need for creating wealth to eradicate poverty, apivotal concern of Islamic economics.Datuk Daud emphasized that institutions of higher learning shoulddevelop rigorous and meaningful analytical tools comparable with Western ...

Artistic Creativity and Human Evolution – Art Theory and the Work of André Leroi-Gourhan

2013 ◽  
Vol 58 (2) ◽  
pp. 107-121
Author(s):  
Konstantinos Vassiliou
Keyword(s):  
Contemporary Art ◽  
Human Evolution ◽  
Art History ◽  
Art Theory ◽  
Artistic Creativity ◽  
The Third ◽  
Modern Age ◽  
Fourth Part ◽  
Artistic Theory ◽  
Analytical Tools

Der vorliegende Beitrag untersucht das Werk André Leroi-Gourhans und insbesondere seine zweibändige Monographie Le geste et la parole auf ihre kunsttheoretische Relevanz; so werden zentrale Debatten über künstlerische Kreativität behandelt und untersucht, inwiefern Leroi-Gourhan zu ihnen beitragen kann. Nach einer einführenden Darstellung einiger allgemeiner Prämissen von Leroi-Gourhan (I) wird in einem zweiten Teil (II) gezeigt, dass seine Theorie der »Rhythmen« wertvolle Einsichten in die Debatte um »Kunstwollen« und Materialismus bereithält. Der dritte Abschnitt (III) diskutiert Leroi-Gourhans Werk im Kontext der Debatte um Industrialisierung und audiovisuelle Kultur in ihrem Gegensatz zu handwerklicher Kreativität. Schließlich (IV) werden Leroi-Gourhans Schlussfolgerungen bezüglich Wahrnehung und Digitalität mit einigen Aspekten zeitgenössischer Kunsttheorie verbunden. Im Ganzen soll gezeigt werden, dass Leroi-Gourhans Werk ein flexibles analytisches Instrumentarium bereithält, um menschliche Evolution und Kunstgeschichte zusammenzudenken und Kreativität im Kontext der allgemeinen kulturellen und technologischen Verschiebungen nach der Moderne zu untersuchen.<br><br>This article relates the work of André Leroi-Gourhan and mostly his two-volume ok Le geste et la parole to art theory. More specifically, it is concerned with central debates on artistic creativity and examines how Leroi-Gourhan can contribute to them. After presenting some general premises of Leroi-Gourhan’s work (I), its second part (II) argues that his theory on ›rhythms‹ supplies valuable insights to the debate of Kunstwollen and materialism. The third part (III) discusses his work within the debate of industrialization and audiovisual culture as opposed to manual and artisanal creativity. The fourth part (IV) links Leroi-Gourhan’s conclusions on perception and digitality with some aspects of contemporary art theory. On the whole, this article argues that Leroi-Gourhans’s work provides flexible analytical tools in order to think art history and human evolution in conjunction, as well as a specifi c framework for examining creativity within the general cultural and technological shifts after the modern age. The conclusions of this essay shed some light on Leroi-Gourhan’s theories on art and offer some methodological perspectives to contemporary artistic theory.

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