# Vibrational Analysis of Multi Storeyed Frames

**Pages:**51 (6024 words)

**Published:**March 20, 2013

FEM by developing

generalized codes in MATLAB. The analysis comprises of the static analysis of frame and the variation of various parameters such as displacement, moment etc with increasing number of storey’s as well as dynamic analysis wherein a code is developed to find the natural frequency of the structure along with the various other parameters. A structure is always vibrating under dynamic loading such as wind etc and if the vibrating frequency equals the natural frequency of the structure, resonance might take place. It is thus necessary to analyze all these aspects of a structure first which we aim with our study.

CONTENTS

Chapter

Chapter 1

Title

Introduction

Page Number

1-2

1.1

Chapter 2

General Introduction

Literature Review

2

3-5

Chapter 3

3.1

3.2

Theoretical and finite

Finite element methods and

Static Analysis

6-25

7-9

9-14

3.3

Chapter 4

4.1

4.2

Dynamic Analysis

Results and Discussions

Static Analysis

Dynamic Analysis

14-25

26-41

27-37

37-41

Chapter 5

Chapter 6

Conclusion

References

42-43

44-46

List of Figures

Figure

Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Figure 7

Figure 8

Figure 9

Figure 10

Figure 11

Figure 12

Figure 13

Figure 14

Figure 15

Figure 16

Figure 17

Figure 18

Figure 19

Title

Plane frame Element

SDOF system in free vibration with damping

Figure showing local and global co-ordinates of a

beam member

Problem figure for a single storey frame.

Problem figure for single storey frame with

intermediate node=1

Problem figure for single storey frame with

intermediate node=2

Problem figure for analysis of 10 storey frame

subject to constant wind force or lateral loading

Graph for x-displacement at node 2 with variation in

number of storeys

Graph for y-displacement at node 2 with variation in

number of storeys

Graph for x-displacement at node 3 with variation in

number of storeys

Graph for y-displacement at node 3 with variation in

number of storeys

Graph for x-displacement at node 4 with variation in

number of storeys

Graph for y-displacement at node 4 with variation in

number of storeys

Graph for x-displacement at node 5 with variation in

number of storeys

Graph for y-displacement at node 5 with variation in

number of storeys

Graph for x-displacement at node 6 with variation in

number of storeys

Graph for y-displacement at node 6 with variation in

number of storeys

Problem figure for analysis of 2-D frame from Mario

Paz book

Problem figure to find natural frequency variation in

n storey frame

Page Number

9

17

21

27

28

29

30

31

31

32

33

34

34

35

35

36

36

37

40

List of Tables

Table

Table 1

Title

Nodal Connectivity Table for problem 1 with 0

Page Number

27

intermediate nodes

Table 2

Displacements at all the nodes in x, y and rotation in

27

z-direction

Table 3

Nodal Connectivity Table for problem 1 with 1

28

intermediate nodes

Table 4

Displacements at all the nodes in x, y and rotation in

28

z-direction

Table 5

Nodal Connectivity Table for problem 1 with 2

29

intermediate nodes

Table 6

Displacements at all the nodes in x, y and rotation in

29

z-direction

Table 7

Displacement in x and y-direction at node 2 with

30

increase in number of stories

Table 8

Displacement in x and y-direction at node 3 with

32

increase in number of stories

Table 9

Displacement in x...

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