Calculating the Buckling Load and Eigenfrequencies of Regular Frames by Using the Canonical the Cartesian Product of Graphs

Rahman Mirzaei; Vafa Morsali; Hiwa Noamani

Calculating the Buckling Load and Eigenfrequencies of Regular Frames by Using the Canonical the Cartesian Product of Graphs

Publish place: National Conference on New Computational techniques & Optimization in Civil Engeineering

Publish Year: 1392

Type: Conference paper

Language: English

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Link to this Paper:

https://civilica.com/doc/220673

Document National Code:

NCTOCE01_005

Index date: 24 November 2013

Calculating the Buckling Load and Eigenfrequencies of Regular Frames by Using the Canonical the Cartesian Product of Graphs abstract

With respect to that many structural models can be generated as the graph products of two or three subgraphs known as their generators and Some of them consist ofCartesian, Strong Cartesian, Direct and Lexicographic products then In this paper a special method is presented for calculating the buckling loads and free vibration analysis of symmetric regular frames without sway. In this method the model of structures formed as the Cartesian product of its weighted generators, then by using the canonical forms the critical load and eigenfrequencies are obtained. Examples are provided to illustrate the simplicity and efficiency of the present method

Calculating the Buckling Load and Eigenfrequencies of Regular Frames by Using the Canonical the Cartesian Product of Graphs Keywords:

Buckling load , Eigenfrequencies , Decomposing , weighted graph , Symmetry , Regular frames , Cartesian product

Calculating the Buckling Load and Eigenfrequencies of Regular Frames by Using the Canonical the Cartesian Product of Graphs authors

Rahman Mirzaei

Member of Civil Engineering Faculty, Islamic Azad University, Bonab Branch, Bonab, Iran

Vafa Morsali

Member of Civil Engineering Faculty, Islamic Azad University, Saghez Branch, Saghez, Iran

Hiwa Noamani

Member of Civil Engineering Faculty, Islamic Azad University, Saghez Branch, Saghez, Iran