- 43

- 5

- Summary
- Virtual Work, Calculus of Variations, Hamilton's Principle

Hello

May I ask: "What is the guiding philosophy of the Principle of Virtual Work?"

I do understand it an how to use it, in classical mechanics.

(And I will openly admit that I do not entirely understand what I am looking for, or what I am asking.)

But what is happening at this moment in history? What is the motivating factor for this development?

I understand the Calculus of Variations and Hamilton's Principle. I understand how the Principle of Virtual Work is an offshoot.

But this entire Principle of Virtual work (before it was endowed with mathematical rigor) seems so unusual. What even motivated people to come up with this in the first place?

"account for the forces and the virtual displacement for boundaries that are not fixed." Yes, I get it, but it just seems like the most unexpected thing to come up with.

(I wish I could explain exactly what I am looking for.... something at the intersection of philosophy, intuition, sociology, motivation, math...)

May I ask: "What is the guiding philosophy of the Principle of Virtual Work?"

I do understand it an how to use it, in classical mechanics.

(And I will openly admit that I do not entirely understand what I am looking for, or what I am asking.)

But what is happening at this moment in history? What is the motivating factor for this development?

I understand the Calculus of Variations and Hamilton's Principle. I understand how the Principle of Virtual Work is an offshoot.

But this entire Principle of Virtual work (before it was endowed with mathematical rigor) seems so unusual. What even motivated people to come up with this in the first place?

"account for the forces and the virtual displacement for boundaries that are not fixed." Yes, I get it, but it just seems like the most unexpected thing to come up with.

(I wish I could explain exactly what I am looking for.... something at the intersection of philosophy, intuition, sociology, motivation, math...)