19: Conceptual Objective 19

Physics 110 · LibreTexts

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    From LibreTexts, under not declared, as the source states it; its equations are written in TeX, which the PDF shows typeset. This page at LibreTexts.

    • 19.1: Other resonators
      This page explores various resonating systems beyond basic strings and air columns, detailing types such as woodwinds, drums, and percussion. It contrasts harmonic systems, which produce harmonious overtones, with anharmonic systems that generate dissonant sounds. Examples include thin membranes and vibrating bars. Additionally, the page offers references for further investigation into specific instrument resonances, such as those found in metal bars and drum heads.
    • 19.2: Percussion
      This page discusses percussion instruments, dividing them into two categories: distinct-toned (e.g., pianos, xylophones) and non-toned (e.g., cymbals, wood blocks). It explains the harmonic overtones produced by distinct-toned instruments, introduces key terms on vibration modes and decay rates, and explores features like vibrating membranes and circular drum head simulations, emphasizing the variety in percussion instruments.
    • 19.3: Basic Acoustics of the Marimba
      This page provides an overview of the marimba, a melodic percussion instrument known for its wooden bars and resonators. It covers the acoustic principles of sound production, highlighting how bar size and resonator length affect tuning. The text addresses myths about tuning, clarifying that it involves adjusting resonator lengths. Additionally, it discusses the impact of temperature on tuning and mentions advancements in creating tunable resonators to enhance performance.
    • 19.4: Bessel Functions and the Kettledrum
      This page covers the mathematical principles behind kettledrum sound production, utilizing models of circular membranes and Bessel functions. It explains the Helmholtz equation and the application of polar coordinates to find solutions for drum vibrations, culminating in Bessel's Equation and its first kind solutions.

    This page titled 19: Conceptual Objective 19 was last modified on Sun, 28 Sep 2025 20:49:04 GMT and is shared under a not declared license and was authored, remixed, and/or curated by Andrew Morrison (Consortium of Academic and Research Libraries in Illinois (CARLI)) .