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Application of Catastrophe Theory in Mechanical Engineering.

This is Song Jining's research project.

Ji Yu has never read similar papers, and he has never taught Song Jining. Obviously, this is entirely Song Jining's own thought.

Because Professor Jiang said that there must be a "special" thesis, Song Jining took a different approach and carried out a completely different research with all his knowledge and imagination.

Of course, since it has passed the approval of Professor Jiang, Song Jining's research is not entirely an exaggerated fantasy.His so-called "catastrophe theory" includes rigorous mathematical calculations of dynamics, thermodynamics, variable mathematics, hyperplanes of high-dimensional states, and so on.

In terms that ordinary people can understand, Song Jining wrote a project, using various scientific data to discuss the possible existence of aliens in the universe, so he is now going to study an astronomical telescope to study the universe.

Ji Yu really never taught Song Jining these things, and he will never read this paper in the future. However, in terms of the future development direction of mechanical engineering, Xiao Song's current research is correct.

Song Jining's "catastrophe theory" here is just an idea, but in fact, there have been very specific researches in the future, and they have been developed into various projects.For example, the research on metal fatigue fracture, bifurcation and sudden change in the cutting process, and the related research on mechanical friction and wear are all related to the catastrophe theory.

Ji Yu didn't know why Song Jining thought of this, even if he was reborn himself, he didn't think about studying it.Perhaps it was because he himself was too used to it, so he had a knowledge blind spot, and any current research felt nothing special.But he also had to admit that he was no match for Song Jining.

Not only can't compare with the future teacher, even the current little brother Song is almost no match.

His advantage is rebirth, but he is still inferior to Song Jining in terms of scientific imagination.

Of course, Ji Chen's biggest feeling about this is relief.

He was extremely happy to see the day when Song Jining showed his talent and entered the Chinese Academy of Sciences along the track of his previous life.

Although he was eager to communicate his research content with brother Song, after waiting for nearly an hour, there was no sign of Song Jining's laboratory opening.

A brother next to him said: "I saw Song Jining went in with a bag of bread in the morning, so I guess he won't come out today."

It was the same when Ji Yu was busy with the experiment before, he went in with the bread in his arms, and then ate it in a few minutes during the experiment gap, without having to go out for a few days.Although Professor Jiang had the key to the laboratory, Ji Yu could understand Song Jining's feeling that he didn't want to be disturbed at the moment, so he left first.

Because there is only half a month for the exam, Ji Chen has no time to procrastinate. He does not need to read books to be sure about several professional courses such as "Engineering Materials and Forming Technology", "Metal Technology Internship", "Fundamentals of Form Design", but "Linear Algebra" "College English" and other courses still need tutoring.

They are all special students who have been greeted by the school from the Air Guidance Academy. As long as their test scores are not too bad, the school will basically not suppress their credits, so they don't need to work hard.But Ji Chen is very serious about reading. He borrowed the handouts from his classmates and began to review them with all his strength. After reading this for a long time, it was not until the lights in the classroom came on and his stomach was growling with hunger that Ji Zhen realized that it was already night. .

He had already told Jian Peng and other senior brothers before that if Xiao Song came out, let him come to this classroom to find him.But it has been more than half a day, Xiao Song hasn't come yet, could it be that he hasn't left the laboratory yet?

When I got to the laboratory and asked, sure enough, Jian Peng replied: "Song Jining hasn't come out yet, and he hasn't had dinner yet, but he usually doesn't come out until nine or ten o'clock. Wait a minute, he will scold you for interrupting."

Ji Chen thought for a while, then turned around and went to the library to borrow a few books before looking for Song Jining.

In the laboratory, Song Jining was working hard.In fact, he should not be alone in this work. He can ask Professor Jiang and other brothers for help, but this is not an experiment he completed alone.Even if other people don't ask for signatures, he can't pass the barrier in his heart.Even if he entered the training class of the Air Force Guidance Institute based on the papers published on the basis of deception, he could not keep up with Ji Yuan.

What Song Jining is most worried about now is not that he can't be with Ji Zhuan every day, but that as time goes on, the common topics of theory, knowledge, and hobbies between him and Ji Zhuan will become less and less, and finally he will not be able to keep up with Ji Zhuan's footsteps. Become an abandoned "illiterate".

When I was returning home from vacation, a family ethics drama about a female educated youth and her husband in the countryside happened to be broadcast on TV.The reason for female educated youths asking for divorce on TV is that "there is no common topic with vulgar husbands".

When Ji Yu left, Song Jining somehow thought of this TV series.Ji Chen, who will go higher and higher in the future, is of a completely different level from him who only has a college degree.Imagine a few years later, the scene where Ji Yu said "I have no common topic with Brother Song", Song Jining felt unbearable.

So he has to go, not only to go, but also to go with his own ability, absolutely not let Ji rafter despise him one day.

"...Little Brother Song...Little Brother Song..."

She must have missed Yuanyuan so much that she had actually hallucinated his voice.Song Jining shook his head and focused on his work.

After a while, Ji Yu's voice was heard again.

"Little Brother Song...Little Brother Song?"

This time Song Jining found out that the voice was not like an auditory hallucination, it was very clearly in the ear, it seemed to be behind...behind!

Song Jining turned around abruptly, and saw Ji Yu who had been thinking about him day and night.

Ji Chen's hair is a little longer and taller, and the chubby cheeks that were originally there are gone, revealing a beautiful face shape, which looks better.The round almond eyes are still so cute, and when the dark eyes meet him, there is a familiar gentle light.

"Brother Song, you've worked hard...um..."

Song Jining hugged Ji rafter and pressed him firmly in his arms.

"Yuanyuan, when did you come back!"

"I just came back today..."

"The training is over? I'm sorry I didn't catch up..."

"It's not over yet, just come back to participate..."

"Are you still used to it over there, haven't you been bullied?"

Song Jining hugged Ji rafter tightly, asking various questions one after another, his words were full of worry.Ji Yu originally held the books in his arms, but after listening to his eager inquiry, he finally let go of the hands holding the books and let them fall to the ground.

He embraced Song Jining with his free hands.

This time, they really hugged each other tightly, leaving no gaps.

"Brother Song, I miss you so much."

Song Jining was stunned for a moment, stopped asking, touched Ji Yu's head, and kissed him on top of his hair: "Me too, I miss you very much."

The two hugged each other for a few minutes before letting go. They looked at each other and smiled, their eyes full of warmth.Then Ji Chen said: "Brother Song, I brought you "Structural Stability and Morphogenesis."

Song Jining: "Huh?"

Ji Yu squatted down, picked up the books scattered on the ground, and recommended them to Song Jining one by one: "Considering Xiao Song's research, I borrowed a few books, this book "Structural Stability and Morphogenesis "was released in 72, and it is the basis of catastrophe theory, I wonder if Xiao Song has read it?"

Song Jining nodded blankly: "Yes, I have studied this book."

Ji Chen nodded, and took out the next one: "Where is this "On Catastrophic Changes"?"

"Seen."

"What about Chaos Theory?"

"No."

Ji Yu secretly exhaled, and finally he was able to help Little Brother Song.

"What about "Wavelet Analysis"?"

"No, what content?"

"Wavelet analysis is to study the volatility of various frequencies, local changes caused by shocks, etc. through inversion methods such as physical intuition and signal processing..." Ji Yu couldn't help talking about his profession: " There is also this "Chaos Theory", which uses quantitative analysis methods to study the data of dynamic systems, and this "Fractal Dimension" is to study the effectiveness of space occupied by complex shapes..."

Ji Yu introduced the relevant books he had found to Song Jining one by one, and suddenly heard the sound of "cuckoo".

It was the sound of hunger from Song Jining's stomach.

Ji Yu was stunned for a moment, only to realize that it was so late that Brother Song hadn't eaten yet, so he hurriedly brought the book back.

"Yes, I'm sorry, I wanted to buy you dinner, but then I went to the library to get books... I forgot..."

When Ji Chen spoke, his voice became softer.

Brother Xiao Song didn't eat normally for a day. It is reasonable to say that what he needs most at this time is a good meal. Anyone who is considerate knows that what he needs most at this moment should be a warm meal.He originally wanted to bring him a dinner when he went out, but later he planned to bring him a few professional books for research, but he forgot when he went to the library...

Ji Yu felt ashamed to reflect on himself... He didn't seem to be considerate of Brother Song at all...

Song Jining stretched out his hand to rub Ji Yu's hair: "Yuanyuan, you are so cute."

He's finished, even if it's such an inconsiderate Yuanyuan, he still thinks it's so cute.

Really like.