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22 Result(s)
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Book
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Book
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Chapter
Part 1 Problems
Determine the energy dissipated over one period for a simple mass–spring system if the losses are (a) viscous and (b) hysteretic.
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Chapter
Part 3 Summary of Results
Differential equation $$\begin{aligned} m\ddot{x} + c\dot{x} + k_0 x = 0; \quad x(0) = x_0; \quad \dot{x}(0) = v_0 \end{aligned}$$ .
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Chapter
Structural Coupling Between Simple Systems
Transfer of vibrations from excitation zones to supporting and adjoining structures mainly determines noise emission from vehicles, machines, and other sources of noise.
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Chapter
Fluid Structure Interaction and Radiation of Sound
Vibrating structures radiate noise. In fact, most sources of sound and noise, from loudspeakers to engines and vehicles, are really due to vibrating structures. A typical noise reducing measure is therefore to...
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Chapter
Waveguides
A waveguide is a system, which by means of its boundaries contains and directs the flow of energy in a construction. One such system is a structural waveguide typical of a ship construction. Aircraft and certa...
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Chapter
Transmission of Sound in Built-Up Structures
Maximum permissible noise and vibration levels are often required for most types of machinery, vehicles, and buildings.
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Chapter
Hamilton’s Principle and Some Other Variational Methods
Many problems in mathematical physics and thus in vibro-acoustics cannot be solved exactly. However, a variational technique can often be used to sufficiently well formulate the equations governing the respons...
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Chapter
Part 2 Solutions
The displacement x of the mass is defined as \(x = x_0 \cdot \sin (\omega t)\) x
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Chapter
Waves in Fluids
Vibrating radiate noise. The radiated power is determined by the acoustical coupling between the vibrating structure and the surrounding fluid.
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Chapter
Sound Transmission Loss of Panels
In general, the noise level inside a building or structure is determined by the transmission of air-borne sound from external and internal acoustic sources and by structure-borne sound induced by some mechanic...
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Chapter
Random Excitation of Structures
The excitation of some simple continuous systems like beams and plates was discussed in Chaps. 6 through 8. In the majority of those examp...
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Book
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Chapter
Mechanical Systems with One Degree of Freedom
In noise reducing engineering, the consequences of changes made to a system must be understood. Questions posed could be on the effects of changes to the mass, stiffness, or losses of the system and how these ...
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Chapter
Waves in Solids
The energy flow in is caused by various types of waves. The description and understanding of the character of these waves are therefore essential. In this chapter, the basic differential equations governing ...
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Chapter
Wave Attenuation Due to Losses and Transmission Across Junctions
In large building constructions like ships, cars, houses, etc., the energy flows from a mechanical source.
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Chapter
Flexural Vibrations of Finite Beams
The methods discussed in the previous chapter are in this chapter extended to include the flexural vibrations of finite beams. It is demonstrated that the mode summation technique can be used to determine the ...
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Chapter
Frequency Domain
The time response of a complicated structure which is exposed to a number of forces is often extremely difficult to interpret. However, if the behavior of a linear mechanical system is studied in the frequency...
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Chapter
Interaction Between Longitudinal and Transverse Waves
The simple differential equations, describing the bending of plates and beams derived in the previous chapter, are only valid as long as the structures can be considered as “thin.”
