Effects of using scalloped shape braces on the natural frequencies of a brace-soundboard system

A structured method for the design-for-frequency of a brace-soundboard system using a scalloped brace

“…In a manner similar to this paper, x 1 and x 3 were held as close to the benchmark values as possible. Some of the results of [12] are restated in Table 7.…”

“…Since the forward model used was previously developed in [12] and results were obtained by adjusting the dimensions of the brace through trial and error, a direct comparison of these results to those calculated in Tables 4 and 6 using inverse methods is possible. In a manner similar to this paper, x 1 and x 3 were held as close to the benchmark values as possible.…”

“…Since the model presented in [12] is made of wood, all mechanical properties of the system are assumed to be a function of the material radial stiffness E R , which is assumed known and given but which tends to vary from specimen to specimen. This interspecimen variation of the radial stiffness is the cause of acoustic inconsistencies in the manufacture of musical instruments in spite of tight dimensional manufacturing tolerances [13].…”

“…The model used during the analysis is based on a typical section of a guitar soundboard structurally reinforced by a single brace along the weaker grain direction and first developed in [12] to explore the effects that a scalloped shaped brace has on the frequencies of a system. The layout of the model is shown in Fig.…”

“…This brace-plate model is chosen to demonstrate the validity of the methods because it has been previously analyzed to examine the effects of the scalloped brace on the natural frequencies of a brace-soundboard system [12] and thus the forward problem is well understood. In the prior paper, the dimensions of the brace were adjusted by trial and error.…”