Transverse Vibration of a Cantilever BeamFull description
This is an example of the completion of the free vibration response of dynamicsFull description
This is an example of the completion of the free vibration response of dynamicsDeskripsi lengkap
Full description
Design of Cantilever BeamDescripción completa
Design of Cantilever BeamFull description
cantilever systemFull description
2PDescripción completa
Descripción completa
The aim of this paper is to discuss various techniques used by various researchers for vibration based crack detection in cracked composite structures. In aeronautical, mechanical and civil engineering fields various structural systems are likely to
lab mechatronic
telecom Structural Engineering
Lab experiment
telecom Structural Engineering
Design of Steel Tower-Presentation
cantilever slabFull description
In 1909 WD Gann gave a now famous interview to Richard D. Wyckoff of the Ticker and Investment Digest. In that interview Gann said, "By my method I can determine the vibration of each stock …Full description
In 1909 WD Gann gave a now famous interview to Richard D. Wyckoff of the Ticker and Investment Digest. In that interview Gann said, "By my method I can determine the vibration of each stock and als...
Its about law of vibrationFull description
Full description
1
CIVIL Engineerin Engineering g Department
Thammasat Thamm asat Univ Universi ersity ty
FREE VIBRATION RESPONSE OF A DAMPED SYSTEM UNDER HARMONIC FORCE
MR. BHAKAPONG BHADRAK BHADRAKOM OM
Free Vibration of a Cantilever tower
Mathematical Analysis
The fundamental frequency for the beam with no axial load is
b
L
h
Fixed Fix ed - sup support port
=
(
)
fn
= the natural frequency
(Hz)
E
= th the mo modulus of of el elasticity
(N/m2)
I
= the area moment of inertia
(m4)
L m
= the length = the mass per unit lengt lengthh
(m) (Kg/m )
2
Free Vibration of a Cantilever tower 3
Natural vibration modes and frequencies of cantilever beams
Free Vibration of a Cantilever tower 4
Problem 1 Cantilever tower, A reinforced-concrete 130m high, has a uniform hollow circular cross section with outside diameter 8 m and wall thickness 0.7 m and the damping is estimated as 2%. The unit weight of concrete is 2549.49 kg/m^3 and its elastic modulus Ec = 30 GPa
Modal Analysis SAP2000 Begin a New Model 1. File menu > New Model 2. Select the Grid Only button, and the form
Modal Analysis SAP2000 Begin a New Model 3. The program will appear as shown in Figure. Note that the grids appear in two view windows tiled vertically, an X-Z “Plan” View on the left and a 3-D View on the right.
Modal Analysis SAP2000 Define a Material
command to display the Define Materials
Modal Analysis SAP2000 Define Sections
Modal Analysis SAP2000 Restraints
command to access the Joint Restraints
Modal Analysis SAP2000 Analysis Options 13
Modal Analysis SAP2000 Run the Analysis
Modal Analysis SAP2000 15
mode
1
2
3
4
Theory (sec)
3.9379
0.6285
0.2244
0.1145
Sap 2000 (sec)
3.938
0.6284
0.2244
0.11454
16
Time-history analysis
Time-history analysis 17
Harmonic Loads
, where is the amplitude or is called the exciting frequency
A harmonic force is = maximum value of the force and its frequency or forcing frequency;
=
is the exciting period or forcing period
Time-history analysis
=
, = Shape function cantilever beam = sin sinh
+
+
+
+
+
+
+
…..
+ sinh (cosh + cos ) cos + cosh sin
