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    Reference Work Entry In depth

    X-Ray Studies of Water

    In this chapter we discuss a number of x-ray techniques that have been used at synchrotron radiation and x-ray free-electron laser facilities to study the water structure and dynamics as well as its thermodyna...

    Anders Nilsson, Fivos Perakis in Synchrotron Light Sources and Free-Electron Lasers (2020)

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    Living Reference Work Entry In depth

    X-Ray Studies of Water

    In this chapter we discuss a number of x-ray techniques that have been used at synchrotron radiation and x-ray free-electron laser facilities to study the water structure and dynamics as well as its thermodyna...

    Anders Nilsson, Fivos Perakis in Synchrotron Light Sources and Free-Electron Lasers

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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.

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 3 (2016)

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    Chapter

    Part 3 Summary of Results

    Differential equation $$\begin{aligned} m\ddot{x} + c\dot{x} + k_0 x = 0; \quad x(0) = x_0; \quad \dot{x}(0) = v_0 \end{aligned}$$ .

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 3 (2016)

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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.

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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.

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 3 (2016)

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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.

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 2 (2016)

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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 ...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 1 (2015)

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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 ...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 1 (2015)

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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.

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 1 (2015)

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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 ...

    Anders Nilsson, Bilong Liu in Vibro-Acoustics, Volume 1 (2015)

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