用物理力模型量化英语日语元音紧张度，揭示发音机制新视角
Quantification of Tenseness in English and Japanese Tense-Lax Vowels: A Lagrangian Model with Indicator θ1 and Force of Tenseness Ftense(t)
- 基于拉格朗日方程建模舌位与下颌动态，引入张力力参数Ftense(t)
- 发现θ1角及其导数可关联元音紧张度，支持力是影响元音质量的关键因素
- 为跨语言语音研究提供可量化的生理力学框架，适合声学与语音学研究者
元音紧张度的传统研究依赖于紧/松的二元区分，但尚未在任何语言中建立公认的量化定义。尽管雅各布森、法恩特和哈勒（1951）以及乔姆斯基和哈勒（1968）已探讨紧张度与声道的关系，伊西崎（2019, 2022）提出通过共振峰角θ1、θF1及其一阶与二阶导数dZ1(t)/dt = lim tan θ1(t) 和 d²Z1(t)/dt² = d/dt lim tan θ1(t) 实现间接量化。本研究在此基础上，提出一种简化拉格朗日模型，描述闭元音发音时舌与下颌在口腔内的动态相互作用。该模型为跨语言元音产生的受力情况提供了理论估算框架，表明力相关参数在决定元音质量中的潜在作用，值得进一步作为语音与音系研究的核心要素探索。
原文摘要 · Abstract (English)
The concept of vowel tenseness has traditionally been examined through the binary distinction of tense and lax vowels. However, no universally accepted quantitative definition of tenseness has been established in any language. Previous studies, including those by Jakobson, Fant, and Halle (1951) and Chomsky and Halle (1968), have explored the relationship between vowel tenseness and the vocal tract. Building on these foundations, Ishizaki (2019, 2022) proposed an indirect quantification of vowel tenseness using formant angles θ1 and θF1 and their first and second derivatives, dZ1(t)/dt = lim tan θ1(t) and d2Z1(t)/dt2 = d/dt lim tan θ1(t). This study extends this approach by investigating the potential role of a force-related parameter in determining vowel quality. Specifically, we introduce a simplified model based on the Lagrangian equation to describe the dynamic interaction of the tongue and jaw within the oral cavity during the articulation of close vowels. This model provides a theoretical framework for estimating the forces involved in vowel production across different languages, offering new insights into the physical mechanisms underlying vowel articulation. The findings suggest that this force-based perspective warrants further exploration as a key factor in phonetic and phonological studies.
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