9.11 Introduction to the Famous Scientists
601
During learning won recognition from professor Qian Ling-xi (Chinese name: 钱令
希, 1916.7.26–2009.4.20) and got his special guidance. After graduation, worked at
the mechanics laboratory of Institute of Mathematics, Chinese Academy of Sciences
in 1950. The important paper published in 1954 ON SOME VARIATIONAL PRINCIPLES IN THE THEORY OF ELASTICITY AND THE THEORY OF PLASTICITY founded the generalized variational principle of three kinds of variables
in elastic mechanics, namely internationally recognized Hu Haichang–Kyuichiro
Washizu generalized variational principle. From 1956 to 1965, served as an associate
professor at the Institute of Mechanics, Chinese Academy of Sciences. Had served
as a professor at the China Academy of Space Technology after 1965. Served as a
part–time professor at the Peking University and Zhejiang University since 1978. Was
elected a member (later changed to academician) of the Chinese Academy of Sciences
in 1980. Founded the Journal of Vibration and Shock and became the editor in chief
in 1982. The works had《弹性力学的变分原理及其应用》 (Variational Principles
and Their Applications in Elasticity, 1981), 《变分学》 (Calculus of Variations, 1987)
and《多自由度结构固有振动理论》(Natural vibration theory of multiple degree of
freedom structures, or The Vibration of More Free Degree Structures 1987) etc.
Problems 9.9
9.1 Let a particle of mass m free fall in the uniform gravitational field, find the
equation of motion of the particle with the Hamilton’s principle.
9.2 Let a particle of mass m move in the conservative force field, find its motion
equation in spherical coordinates. Assume that the expression V (r, θ, ϕ) of
potential energy V in spherical coordinates is known.
9.3 As shown in the Problem 9.1, let the lengths of the compound pendulum be
L 1 and L 2 , the masses are m 1 and m 2 . Find the equation of motion of each
pendulum.
Problem 9.1 Compound
pendulum diagram
O
L 1
L 2
M 2
y
x
M 1
ϕ
ϕ
1
2
601
During learning won recognition from professor Qian Ling-xi (Chinese name: 钱令
希, 1916.7.26–2009.4.20) and got his special guidance. After graduation, worked at
the mechanics laboratory of Institute of Mathematics, Chinese Academy of Sciences
in 1950. The important paper published in 1954 ON SOME VARIATIONAL PRINCIPLES IN THE THEORY OF ELASTICITY AND THE THEORY OF PLASTICITY founded the generalized variational principle of three kinds of variables
in elastic mechanics, namely internationally recognized Hu Haichang–Kyuichiro
Washizu generalized variational principle. From 1956 to 1965, served as an associate
professor at the Institute of Mechanics, Chinese Academy of Sciences. Had served
as a professor at the China Academy of Space Technology after 1965. Served as a
part–time professor at the Peking University and Zhejiang University since 1978. Was
elected a member (later changed to academician) of the Chinese Academy of Sciences
in 1980. Founded the Journal of Vibration and Shock and became the editor in chief
in 1982. The works had《弹性力学的变分原理及其应用》 (Variational Principles
and Their Applications in Elasticity, 1981), 《变分学》 (Calculus of Variations, 1987)
and《多自由度结构固有振动理论》(Natural vibration theory of multiple degree of
freedom structures, or The Vibration of More Free Degree Structures 1987) etc.
Problems 9.9
9.1 Let a particle of mass m free fall in the uniform gravitational field, find the
equation of motion of the particle with the Hamilton’s principle.
9.2 Let a particle of mass m move in the conservative force field, find its motion
equation in spherical coordinates. Assume that the expression V (r, θ, ϕ) of
potential energy V in spherical coordinates is known.
9.3 As shown in the Problem 9.1, let the lengths of the compound pendulum be
L 1 and L 2 , the masses are m 1 and m 2 . Find the equation of motion of each
pendulum.
Problem 9.1 Compound
pendulum diagram
O
L 1
L 2
M 2
y
x
M 1
ϕ
ϕ
1
2