- Date:03 Aug 2020
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Ch 1 Introduction of Mechanical Vibrations Modeling. 1 1 That You Should Know, Vibration is the repetitive motion of the system relative. to a stationary frame of reference or nominal position. Principles of Motion Vibration Modeling,Math Vibration Analysis. design the system to have a particular response,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Spring Mass Model,Mechanical Energy Potential Kinetic. From the energy point of view vibration is caused by. the exchange of potential and kinetic energy,When all energy goes into PE the motion stops.

When all energy goes into KE max velocity happens, Spring stores potential energy by its deformation kx2 2. Mass stores kinetic energy by its motion mv2 2,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Springs and Masses connection as the way to model,the vibrating system. 1 1 That You Should Know, Ch 1 Introduction of Mechanical Vibrations Modeling. Real life system may not see the springs masses, connection explicitly You have to devise the simple.

model smartly suitable to the requirements,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Various forms of springs linear traverse torsion spring. Gravity force can make up the spring, Because work done by the gravity force is a kind of PE. When the altitude change PE change KE change,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Spring Stiffness N m or Nm rad, Spring has the characteristic that force is the function. of deformation F k x If k is constant the spring, is linear Practically it is not constant k is generally.

slope of the F x curve and is known as the stiffness. 1 1 That You Should Know, Ch 1 Introduction of Mechanical Vibrations Modeling. Stiffness is the property of the object which depends. mainly on its shape and material properties e g E,Equivalent massless spring constants. 1 1 That You Should Know, Ch 1 Introduction of Mechanical Vibrations Modeling. Equivalent massless spring constants cont,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Equivalent massless spring constants cont,1 1 That You Should Know.

Ch 1 Introduction of Mechanical Vibrations Modeling. Equivalent massless spring constants cont,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Equivalent massless spring constants cont,1 1 That You Should Know. Ch 1 Introduction of Mechanical Vibrations Modeling. Spring connection series or parallel,Forces add up. Disp add up, The calculated stiffness value keff is used in the. modeling system,1 1 That You Should Know, Ch 1 Introduction of Mechanical Vibrations Modeling.

1 1 That You Should Know, Ch 1 Introduction of Mechanical Vibrations Modeling. Derive the equivalent spring constant for the system. Ch 1 Introduction of Mechanical Vibrations Modeling Spring Mass Model Mechanical Energy Potential Kinetic From the energy point of view vibration is caused by the exchange of potential and kinetic energy When all energy goes into PE the motion stops When all energy goes into KE max velocity happens

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