"Tell me again, what? Finite Element Analysis? ”

Feng Chong couldn't believe his ears, and before Chen Yaoyang could finish speaking, he had a look of disbelief, and his head shook like a rattle: "Impossible, how is it possible, how do you know about finite element analysis?" This is the latest frontier in mathematics, and you are not a professional, how can you possibly know? ”

It is no wonder that Feng Chong would be so out of shape, the finite element analysis mentioned by Chen Yaoyang was a new calculation method proposed by Western applied mathematicians in the 40s, and by the early 50s, the relevant theories had not yet developed and matured, but only spread in the professional mathematics industry, and did not reach the level of real application. Pen & Fun & Pavilion www.biquge.info

Feng Chong, as a top student of the Department of Mathematics of Zhonghai Fu University, also heard this name from a mathematics professor who returned from overseas by chance.

It is a pity that the mathematics professor only knows a rough idea, and does not have an in-depth understanding of this applied mathematical theory, which is also at the top frontier in the West, so he does not introduce much, but the professor's words made Feng Chong deeply remember this unprecedented mathematical concept: "Once the finite element is matured, it will play an important role in the fields of applied mechanics, structural mechanics, fluid mechanics, machining, and kinetic energy calculation."

Especially in the field of military equipment, it is very likely to play a pivotal role, you must know that there are two cores in the field of military industry, one is processing and manufacturing; The other is theoretical design, and the basis of theoretical design is the calculation of various data, because of this, there is an unwritten saying in the military industry, that is, mathematics is the basis of all design! ”

This sentence can be said to be firmly engraved in Feng Chong's mind, and then began to learn the knowledge of finite element in a targeted manner, because he felt that if he could master this kind of applied mathematical theory that is at the forefront of the Western world, China could achieve overtaking in basic disciplines, and because of this, Feng Chong was hungry for several years to collect all the information about finite element analysis.

It's just that because China is too backward at this time, coupled with the turmoil of the war, many Western cutting-edge technical theories cannot be spread to China at all, even if some relevant introductions are over, they are just a few words, and there is no reference significance at all, so after a few years, Feng Chong only has a general understanding of finite element analysis, and the application is still 108,000 miles away.

However, what he never expected was that he had gone through a lot of hard work to get a glimpse of the finite element analysis, and Chen Yaoyang, a mathematical "layman" who was born in machinery, not only studied it more thoroughly than him, but also applied it to the basic calculation of weapons and equipment.

This made Feng Chong's solid three views that took 27 years to establish collapse in an instant, so that he was a little doubtful that he was really in China at this moment? Didn't he have some hallucination that made him fly thousands of miles across the Pacific Ocean to the United States, where applied mathematics is the most developed?

Just as Feng Chong's head was moving with all his might, trying to settle the probability of becoming an illusion in front of him, Chen Yaoyang pursed his lips with a playful smile, and directly smashed Feng Chong's illusory bubble completely......

"Finite element analysis? Hehe, of course I know, not only do I know but also master a set of effective application algorithms...... You don't have to look at me like this, there is really no need to lie to you in this regard, the so-called finite element analysis is, to put it bluntly, a discretization method.

In mathematical terms, it is to start from the variational principle, through partition interpolation, the extreme value problem of the quadratic functional is solved into a set of multivariate algebraic equations, you study mathematics, so you should know that it is often very complicated to deduce the functional directly from a differential equation.

Sometimes it is even impossible to achieve at all, so when seeking a functional, usually with the help of the weakness characteristics studied, take the No. 1 recoilless gun that is ready for you to calculate, the rigidity problem inside the chamber belongs to the small deformation elastic problem, so the principle of minimum potential energy in elastic mechanics provides great convenience, from this principle, the matrix settlement structure is formed.

This forms the basic concept of finite element analysis, on the basis of which the elastic continuum inside the entire barrel is divided into finite small units, which are connected to each other at finite nodes. And under a certain precision requirement, each element is described with a finite number of parameters, and this feature can be regarded as the sum of the mechanical characteristics of these small units, so as to establish the equilibrium ...... of the force of the continuum.

For example, in terms of the elastic force of the inner wall of the barrel of the No. 1 recoilless gun, if the whole is divided into 9 nodes, with the first node as the base axis, as X, the whole functional is known to be ......"

As Chen Yaoyang spoke, he opened the folder under his armpit, took out a few pieces of calculation paper, took out the pen on his chest, and first drew a sketch of the No. 1 recoilless gun on the blank calculation paper, and then divided it into 9 paragraphs with a short line, and then wrote a lot of mathematical formulas, and talked and calculated to the many backbones who came around.

However, the surrounding backbones did not regard these mathematical calculations as heavenly books, but regarded them as rare treasures, or thinking, or staring, or silently calculating, or drawing inferences from one case to another, and deducing, of course, there are also those who work hard to write and silently record, just like Zhang Yi, who understands more slowly.

Seeing such a dazzling new knowledge, he had already thrown his previous unhappiness out of the clouds, and without saying a word, he took out the paper and pen he carried with him, and in an instant, he began to record every word Chen Yaoyang said and wrote every mathematical equation word for word.

As for Feng Chong, who regarded himself as a defender before, full of arrogance and domineering, he was even more like a deflated ball, and he had already wiped out the domineering emissions in his body, and replaced it with a deep shock, to be honest, if he hadn't heard Chen Yaoyang's explanation with his own ears and saw the rows of calculations on the calculus paper with his own eyes, he wouldn't believe that he would have killed Feng Chong, finite element analysis could be solved like this.

To know that the finite element analysis he understands is a complex mess, it can be said that in addition to the advanced concept, in terms of specific calculations, it is not as simple and effective as the old-fashioned mechanical calculations, otherwise it can be said that the finite element analysis has not reached the maturity of application until now.

However, the finite element analysis shown by Chen Yaoyang, although there are also a large number of calculations, is much more simplified than the most basic finite element concept, and the geometric matrix structure it adopts turns the operation and model construction into a simple and direct functional array equation.

Not to mention that he is a top student in the mathematics department, as long as he is a middle school student who is familiar with algebraic equations, he can directly calculate, because of this, Feng Chong couldn't believe his eyes, and shook his head violently, so he was sure that all this in front of him was true, so he couldn't care about anything else, twisted his face, and exclaimed excitedly: "Miracle, miracle...... It's definitely a miracle of the Arabian Nights......"