Bell Design Optimizing Harmonized Frequencies
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Solution Overview
Problem
Existing bells, particularly smaller ones, struggle to produce harmonized frequencies, resulting in a less pleasing sound profile and being less audible compared to larger bells due to their frequencies being out of tune.
Innovation Solution
A bell design featuring a specific geometric configuration including a lip, sound bow, waist, shoulder, and crown, with calculated dimensions and shapes to optimize the production and harmonization of dominant frequencies, along with a method to determine the optimal dimensions using formulas for lip diameter, shoulder diameter, and crown height to enhance sound characteristics.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Adaptability or versatility
If smaller bells are made to produce different notes in a carillon, then the carillon can play musical tunes with more notes, but the smaller bells are not as loud as larger bells and cannot be heard as clearly
Solution Approach 1:
The patent applies parameter changes by precisely controlling the geometric parameters of the bell (shoulder diameter SD = 0.55*LD ±5%, crown height CH = 0.0807*TPH - 0.0026, total perpendicular height TPH = 0.8146*LD - 26.124) to optimize the sound profile. This allows smaller bells to produce harmonized frequencies that are clearly audible, resolving the contradiction between producing different musical notes and maintaining loudness/clarity.
2Measurement precision
If bells are designed to prevent non-dominant frequencies from sounding, then a clearer dominant frequency is achieved, but the sound profile becomes less pleasing as the harmonized frequencies are suppressed
Solution Approach 1:
The patent applies local quality by creating specific geometric features at different locations of the bell. The shoulder region with diameter SD = 0.55*LD ±5% and the crown region with height CH = 0.0807*TPH - 0.0026 are specifically designed to control how different frequencies are produced and harmonized, allowing both clarity and musical pleasure.
Solution Approach 2:
The patent applies dynamics by designing the bell geometry to dynamically control frequency production. The specific dimensions (TPH = 0.8146*LD - 26.124, SD = 0.55*LD ±5%) enable the bell to naturally produce harmonized frequencies that are pleasing to the ear while maintaining a clear dominant tone, eliminating the need to suppress non-dominant frequencies.
3Adaptability or versatility
If the frequencies of smaller bells are adjusted to match dominant frequencies, then harmonization is improved, but the bells become even quieter and less audible
Solution Approach 1:
The patent resolves this contradiction by optimizing geometric parameters (SD = 0.55*LD ±5%, CH = 0.0807*TPH - 0.0026, TPH = 0.8146*LD - 26.124) to achieve frequency harmonization while maintaining audibility. The specific shoulder diameter and crown height configurations ensure that smaller bells produce harmonized frequencies that remain clearly audible.
Applied Scientific Principles
This section explains which scientific principles are used to turn an abstract innovation direction into a practical engineering solution.
Function Achieved in This Case
The proposed bell design achieves a more harmonized and pleasing sound profile, allowing smaller bells to produce louder and clearer sounds by optimizing the frequencies and growth/decay profiles, effectively addressing the issue of smaller bells being less audible.
Implementation Method 1
Bells produce more than one frequency when they are struck, five of which are the most dominant. A more pleasing sound profile for the bell can be achieved by ensuring that each of these frequencies can be heard.
Data Source
AI summary
A bell including an outside surface, inside surface, lip at the bottom of the bell, sound bow above the lip, waist above the sound bow; above the waist a shoulder having a diameter equal to: 0.55*LD ±5%, and crown at the top of the bell above the shoulder; wherein a portion of the inside surface generally adjacent the shoulder has a first end at or near the crown; a second end at or near the waist and a inflection point generally in-between the first and second ends; as the inside surface portion extends away from the first end towards the point of inflection, the portion extends away from the crown more than it extends towards the outside surface; and as the inside surface portion extends towards the second end from the point of inflection, the portion extends towards the outside surface more than it extends away from the crown.