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Hans-Joachim Raida
The second-order partial differential wave Equation (Cauchy?s first equation of motion), derived from Newton?s force equilibrium, describes a standing wave field consisting of two waves propagating in opposite directions, and is, therefore, a ?two-way wa...
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Oskar Bschorr and Hans-Joachim Raida
A vibration absorber consisting of a one-dimensional waveguide with a reflectionless termination extracts vibrational energy from a structure that is to be damped. An optimum energy dissipation occurs for the so-called power adjustment, i.e, the same lev...
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Oskar Bschorr and Hans-Joachim Raida
The method used to factorize the longitudinal wave equation has been known for many decades. Using this knowledge, the classical 2nd-order partial differential Equation (PDE) established by Cauchy has been split into two 1st-order PDEs, in alignment with...
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Oskar Bschorr and Hans-Joachim Raida
The coordinate-free one-way wave equation is transferred in spherical coordinates. Therefore it is necessary to achieve consistency between ????????????????
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Oskar Bschorr and Hans-Joachim Raida
The wave equations for longitudinal and transverse waves being used in seismic calculations are based on the classical force/moment balance. Mathematically, these equations are 2nd order partial differential equations (PDE) and contain two solutions with...
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