The forced vibration of mechanical systems can be caused by the support motion, as in the case of vehicles, aircraft, and ships. Figure 4.15 shows a damped single degree of freedom mass–spring system with a moving support. The support motion is assumed to be harmonic and expressed in the form
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→ WhatsApp: +86 182217550735.4 Forced vibration of damped, single degree of freedom, linear spring mass systems. Finally, we solve the most important vibration problems of all. In engineering practice, we are almost invariably interested in predicting the …
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→ WhatsApp: +86 18221755073Figure 5-20 shows that for forced vibration, the critical frequency remains constant at any shaft speed. The critical speeds occur at one-half, one, and two times the rotor speed. The effect of damping in forced vibration reduces the amplitude, but it does not affect the frequency at which this phenomenon occurs.
→ WhatsApp: +86 18221755073Examples of Forced Vibration: A harmonic or non-harmonic disturbance can be used as a periodic input for the forced vibration. Shaking of washing machine due to imbalance. Transport vibrations that are induced by an engine or uneven road. The vibration of a moving vehicle is forced vibration, as the engine, springs, road, etc., continue to ...
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→ WhatsApp: +86 18221755073The equation of motion of the above system can be expressed as: m x.. + mx = F. Here, m is the mass of the block, x.. is the compression distance, and F is the external force. The steady state solution of force in this case is, F = F 0 sin ω t. Here, ω is the angular velocity of the block, and t is the time. Now, the general solution of equation of motion for the system can be re-written in ...
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→ WhatsApp: +86 18221755073Free Vibration- In Free vibration, the object is not under the influence of any kind of outside force. Forced Vibration- In forced vibration, the object is under the influence of an outside force. This can be understood more clearly by the following example:-When a pendulum vibrates it is free vibration because it does not depend on any outside force to vibrate whereas …
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→ WhatsApp: +86 182217550731. A body has free vibration if no force other than the restoring force acts on it. 1. If an external periodic force acts on a body, it executes a forced vibration. 2. The frequency of free vibration of a body depends on density, shape and elasticity of its material. 2. The frequency of forced vibration becomes equal to that of the applied ...
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→ WhatsApp: +86 18221755073In the previous chapter, we have considered the free vibration analysis of continuous systems. Continuous system" b We pass on to the forced vibration analysis of continuous systems in this chapter. Though we start with axial vibration Vibration, axial problem,...
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→ WhatsApp: +86 18221755073Classify different type of a forced vibration questions. In this section, we finish up this chapter and solve more general spring vibration questions. Recall the spring vibration question can be solved using the 2nd order non-homogeneous differential equation, [latex]ms''(t)+rs'(t)+ks(t)=F(t)[/latex] where [latex]m[/latex] is the mass of the ...
→ WhatsApp: +86 18221755073This represents the forced response of the system, and oscillates at the angular forced frequency. This is the steady-state response. Figure (PageIndex{4}): The general solution of the equation of motion. This represents the combined response of the system, and the sum of the complementary (or natural) and particular (or forced) responses.
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→ WhatsApp: +86 18221755073Delve into the realm of engineering, focusing on the key aspect of forced vibration. This article demystifies the theory, practical applications, and dynamics of forced vibration, a significant branch of solid mechanics.Discover comprehensive insights into the meaning and core mechanics, along with its practical applications in the field of engineering.
→ WhatsApp: +86 18221755073This represents the forced response of the system, and oscillates at the angular forced frequency. This is the steady-state response. Figure (PageIndex{4}): The general solution of the equation of motion. This represents the combined response of the system, and the sum of the complementary (or natural) and particular (or forced) responses.
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