ABSTRACT
This chapter provides a large number of the types of equations for, which the designer of ultrasonic equipment and applications may have a need. To cover the wide range of uses for ultrasonic energy, the design of ultrasonic systems and of their applications involves the use of many equations. The oscillating mass-loaded spring is commonly considered in engineering. In some systems, the combination is used to isolate vibrations of one mass from another, as in quieting machinery or household appliances, and resonance in these cases is to be avoided. The transverse-wave equation is introduced in order to present the important functions of vibrations of bars vibrating in transverse modes. Consideration of the general wave equation and of the particular form applied to transverse waves provides a background for investigating plate waves. An acoustic wave can exist in a medium only because the medium has mass and elastic properties.
