请教：莫氏锥度是怎么来的？为什么公制英制都不是整数？

耶稣爱子

请教：莫氏锥度是怎么来的？为什么公制英制都不是规整的数？（如4号莫氏锥度的外锥大径为31.542，内锥大径为31.267，换算成英制是1.2418in和1.2310in，两种单位下，都不是规整的数）

Architect

https://en.wikipedia.org/wiki/Machine_taper#Morse——
“The Morse taper was invented by Stephen A. Morse, based in New Bedford Massachusetts, in the mid-1860s.[1] Since then, it has evolved to encompass smaller and larger sizes and has been adopted as a standard by numerous organizations, including the International Organization for Standardization (ISO) as ISO 296 and the German Institute for Standardization (DIN) as DIN 228-1. It is one of the most widely used types, and is particularly common on the shank of taper-shank twist drills and machine reamers, in the spindles of industrial drill presses, and in the tailstocks of lathes. The taper angle of the Morse taper varies somewhat with size but is typically 1.49 degrees (around 3 degrees included).

Some modular orthopedic total hip implants use a Morse taper to mate components together.[2] Similarly, some dental implants use a Morse taper to connect components.”

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https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3779551/

The Morse Taper was invented in 1864 by Stephen A. Morse, an enterprising mechanic, who developed it to reliably join two rotating machine components. The orthopaedic industry has adapted these tapers, under the generic name of Morse tapers, as a means of reliably joining modular components of total joints directly on the operation table. The principle of the Morse taper is that of the cone in the cone. The trunnion (the male portion) and the bore (the female portion) are both uniformly tapered. When the bore in the femoral head is tapped onto the trunnion of the femoral stem they come into intimate contact. The conical femoral taper compresses the walls in the bore as it expands. Thus, the stresses inside the materials keep both components fixed together.。。。。


可以多了解一下。

Architect

“A question often asked within the clinical community is, “what specifically is a Morse taper and can it provide a stable connection between components?” A Morse taper is defined by the angle that the taper surfaces make relative to the longitudinal axis of the component and by the mismatch angle between the male and female part. The original Morse taper angle defined by Stephen Morse for tools was a relatively small angle of 2° 50′, with the mathematical relation that tang 2° 50 = 5 %.”

Architect

“Morse taper angles used for arthroplasties generally fall in a range of 5–18°, and when interpenetrating parts of slightly different sizes or angles (called the mismatch angle) are assembled as an interference fit, they lock together. This is because of the high contact stresses that develop along the interface during forced assembly. So the orthopaedic angle is not exactly the angle choosen by Stephen Morse. From a mechanical point of view the smaller the angle is, the higher is the stability. The principle of the Morse taper is that of the cone into the cone. The trunnion (the male portion) and the bore (the female portion) are both uniformly tapered. When the bore in the femoral head is tapped onto the trunnion of the femoral shaft they come into intimate contact. The conical femoral taper compresses the walls in the bore as it expands.”

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