V2EX distributed parameter

Distributed Parameter

定义 / Definition

分布参数(系统/模型):指系统的参数或状态量在空间上连续分布、随位置变化,通常需要用偏微分方程(PDE)来描述(如温度场、振动的梁、传输线电压电流)。常与“集总参数(lumped parameter)”相对。

例句 / Examples

A heated rod is a distributed parameter system because temperature changes along its length.
加热的金属杆是分布参数系统,因为温度会沿着杆的长度发生变化。

In modeling vibration of a flexible beam, engineers often use a distributed parameter model governed by partial differential equations rather than ordinary differential equations.
在建模柔性梁的振动时,工程师常用由偏微分方程控制的分布参数模型,而不是常微分方程模型。

发音 / Pronunciation (IPA)

/dstrbjtd prmtr/

词源 / Etymology

distributed 来自拉丁语 distribuere(“分配、分散”),强调“在各处分布”;parameter 源自希腊语 *para-*(“旁边、相关”)+ etron(“度量”),指“用来度量/刻画系统的量”。合起来在工程与控制领域表示“随空间位置分布的系统参数/状态”。

相关词 / Related Words

文学与著作中的用例 / Literary & Notable Works

  • Control System Design: An Introduction to State-Space Methods(Bernard Friedland)讨论分布参数系统与状态空间方法的关系与局限。
  • Distributed Parameter Systems: Theory and Applications(I. Lasiecka, R. Triggiani 等相关教材/专著体系中常见主题)以分布参数系统的数学理论(PDE、边界控制)为核心。
  • Transmission Line Theory 相关经典教材与专著(电磁学/电路理论方向)将传输线作为典型分布参数模型反复出现。
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