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### Aim of the experiment | ||
### Tuned Vibration Absorber |
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## Experiment name | ||
## Tuned Vibration Absorber |
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### Procedure | ||
### Procedure | ||
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This experiment deals with the process of design of a tuned vibration absorber. Read the text provided on the screen opened on clicking tab 'Background'. | ||
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On opening the screen of simulator by clicking the tab 'simulator' and following the hyperlink 'click here to open the simulator', you will see graphics of main system having mass M<sub>1</sub> and stiffness K<sub>1</sub> (divided in two springs, each having stiffness K<sub>1</sub>/2) attached with an auxiliary system with mass M<sub>2</sub> and stiffness K<sub>2</sub>. A representative rotating mass is seen inside M<sub>1</sub>. The values of mass and stiffness of the main system and the unbalance mass and its rotational speed are fixed i.e. the natural frequency of the main system before attaching the auxiliary system and the forcing frequency are fixed (cannot be changed) and their values are close to each other ω = 0.95 ωn. | ||
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The values of mass and stiffness of the auxiliary system can be selected by the user, i.e. natural frequency of the auxiliary system as an independent and separate system can be changed. You are supposed to input different values of the mass and stiffness of auxiliary system (M<sub>2</sub> and K<sub>2</sub>) and observe the responses of this and the primary system. You are also supposed to note that when the value of natural frequency of the auxiliary system is equal to the excitation frequency, the response of the main system is reduced to minimal. It is the value of natural frequency (the ratio K<sub>2</sub>/M<sub>2</sub>) of the auxiliary system that is important and not the individual values of M<sub>2</sub> and K<sub>2</sub>. The design of a dynamically tuned vibration absorber is governed by the permissible response of the mass of auxiliary system, M<sub>2</sub>, which is given by the ratio of amplitude of the forcing function and stiffness of the auxiliary system (X<sub>2</sub> = F<sub>0</sub>/K<sub>2</sub>). Higher values of K<sub>2</sub> keep the response X<sub>2</sub> low but demand greater values of mass M<sub>2</sub>. Usually, the value of the mass ratio, M<sub>2</sub>/M<sub>1</sub>, is kept between 0.05 and 0.25. | ||
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Follow these steps to work with the simulator: | ||
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1. Input values of mass, M<sub>2</sub>, and stiffness, K<sub>2</sub>, of the auxiliary system in the suggested range. Select the value of M<sub>2</sub> around 0.1 times the mass M<sub>1</sub> and the value of K<sub>2</sub> such that the ratio K<sub>2</sub>/M<sub>2</sub> is very nearly equal to the ratio K<sub>1</sub>/M<sub>1</sub>. | ||
2. Run the simulation. | ||
3. On stopping the simulation automatically, observe the values of responses of X<sub>1</sub> and X<sub>2</sub>. Note that when ω= ω<sub>1</sub> = ω<sub>2</sub>, X<sub>1</sub> = 0 and X<sub>2</sub> = F<sub>0</sub>/K<sub>2</sub>. |
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### Link your references in here | ||
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* { | ||
margin: 0; | ||
padding: 0; | ||
} | ||
#tabs { | ||
height: 717px; | ||
left: 0; | ||
top: 0; | ||
} | ||
#uservalues { | ||
height: 520px; | ||
margin-left: 729px; | ||
margin-top: -513px; | ||
width: 550px; | ||
} | ||
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border-width: 2px; | ||
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border: 2px solid #000000; | ||
border-radius: 10px; | ||
height: 500px; | ||
margin-left: 65px; | ||
margin-top: 11px; | ||
padding-left: 90px; | ||
padding-right: 90px; | ||
} | ||
#uservalues fieldset p { | ||
background: #b9cf6a; | ||
background: #6DC9FB; | ||
border-color: #e3ebc3; | ||
border-color: rgba(25, 180, 180, 0.6); | ||
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border-width: 2px; | ||
-moz-border-radius: 5px; | ||
-webkit-border-radius: 5px; | ||
border-radius: 5px; | ||
line-height: 16px; | ||
list-style: none; | ||
padding: 1px 8px; | ||
height: 45px; | ||
margin-left: -2px; | ||
margin-top: 10px; | ||
width: 202px; | ||
} | ||
#uservalues fieldset legend { | ||
color: highlight; | ||
font-size: 16px; | ||
text-shadow: 0 1px 1px #FFFFFF; | ||
} | ||
#uservalues fieldset input { | ||
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border: medium none; | ||
border-radius: 3px; | ||
font: italic 15px Georgia, "Times New Roman", Times, serif; | ||
height: 18px; | ||
margin: 5px 5px 3px 17px; | ||
outline: medium none; | ||
padding: 5px; | ||
margin-left: 6px; | ||
margin-top: 10px; | ||
width: 121px; | ||
} | ||
#uservalues fieldset label { | ||
margin-left: 5px; | ||
} | ||
#uservalues fieldset { | ||
border: 2px solid #000000; | ||
border-radius: 10px; | ||
color: #384313; | ||
font-size: 13px; | ||
font-weight: bold; | ||
height: 500px; | ||
margin-top: -3px; | ||
width: 463px; | ||
padding-bottom: 10px; | ||
text-shadow: 0 1px 1px #C0D576; | ||
margin-left: 58px; | ||
padding-left: 12px; | ||
} | ||
button.greenbtn { | ||
background: -moz-linear-gradient(center top , #3C9300, #398A00) repeat scroll 0 0 rgba(0, 0, 0, 0); | ||
border: 1px solid #29691D !important; | ||
transition: border 0.2s ease 0s; | ||
} | ||
button { | ||
text-decoration: none; | ||
text-shadow: 0 1px 0 #fff; | ||
font: 11px /17px Comic Sans MS, Arial, sans-serif; | ||
color: #FFFFFF; | ||
line-height: 17px; | ||
height: 18px; | ||
display: inline-block; | ||
padding: 5px 6px 4px 6px; | ||
background: #F3F3F3; | ||
border: solid 1px #D9D9D9; | ||
border-radius: 2px; | ||
-webkit-border-radius: 2px; | ||
-moz-border-radius: 2px; | ||
-webkit-transition: border-color .20s; | ||
-moz-transition: border-color .20s; | ||
-o-transition: border-color .20s; | ||
transition: border-color .20s; | ||
height: 29px !important; | ||
cursor: pointer; | ||
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button.redbtn { | ||
background: -moz-linear-gradient(center top , #DC4A38, #D14836) repeat scroll 0 0 rgba(0, 0, 0, 0); | ||
border: 1px solid #D14836 !important; | ||
transition: border 0.2s ease 0s; | ||
} | ||
button.bluebtn { | ||
border: 1px solid #3079ED !important; | ||
background: #199DC8; | ||
background: -webkit-linear-gradient(top, #199DC8,#199DC8); | ||
background: -moz-linear-gradient(top, #199DC8,#199DC8); | ||
background: -ms-linear-gradient(top, #199DC8, #199DC8); | ||
background: -o-linear-gradient(top, #199DC8, #199DC8); | ||
-webkit-transition: border .20s; | ||
-moz-transition: border .20s; | ||
-o-transition: border .20s; | ||
transition: border .20s; | ||
} | ||
#run { | ||
height: 18px; | ||
margin-left: 89px; | ||
margin-top: 24px; | ||
padding-bottom: 5px; | ||
padding-right: 6px; | ||
width: 112px; | ||
} | ||
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height: 18px; | ||
margin-left: 44px; | ||
margin-top: 24px; | ||
padding-bottom: 5px; | ||
padding-right: 6px; | ||
width: 112px; | ||
} |
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