用Mathematica设计物理问题示例2

H. Sarafian
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引用次数: 1

摘要

通常在声音物理学中,与静态声学相关的主题都是讨论的。例如,声级的变化vs距离的离散变化。在动态情况下,例如多普勒,虽然组件的相对运动,即源和传感器是必不可少的,但运动仅限于均匀运动。在本调查报告中,考虑了偏离这些限制的情况。对于前一种情况,分析了声级随时间的变化,对于后一种情况,分析了非均匀运动。除了简单的手写数学公式外,大部分分析都是利用计算机代数系统(CAS)特别是Mathematica进行的。开发的分析和格式是灵活的,有利于进一步探索“如果”的场景。
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Designing Physics Problems with Mathematica Example II
Customarily in the physics of sound, static-acoustic-related topics are ad-dressed. For instance, the change in the sound level vs discrete change in the distance. In dynamic cases, e.g. the Doppler shit although the relative motion of the components, i.e. the source and the sensor are essential, the move-ments are limited to uniform motions. In this investigating report, scenarios departed from these limitations are considered. For the former case, time de-pendent sound level and for the latter case, nonuniform motions are analyzed. Aside from light long-hand mathematical formulations, the majority of the analysis is carried out utilizing a Computer Algebra System (CAS) specifically Mathematica. The analysis and format of the development are crafted flexibly conducive opportunities for furthering quests for the “what if” scenarios.
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