涡激振动是引发立管疲劳损伤的关键诱因之一。基于Van Der Pol尾流振子方程,研究了不同长度两端铰接的钢悬链线立管在相同来流流量不同剖面剪切来流作用下的涡激振动响应。采用二阶中心差分法对时域和空间域的耦合方程组进行了求解,并...涡激振动是引发立管疲劳损伤的关键诱因之一。基于Van Der Pol尾流振子方程,研究了不同长度两端铰接的钢悬链线立管在相同来流流量不同剖面剪切来流作用下的涡激振动响应。采用二阶中心差分法对时域和空间域的耦合方程组进行了求解,并采用雨流计数法对立管的疲劳寿命进行了预测。结果表明,立管振动沿轴向传播呈驻波和行波的混合模式,随立管长度的增加,振动响应由驻波主导转变为行波主导。受剪切来流剖面的影响,立管振动响应呈现多频特性,行波自立管的顶部向底部传播,且其传播速率随来流剪切程度及立管长度而变化。随剪切程度的增强,立管从流体中获得的能量减少,能耗增加,振动位移减少。相同来流剖面时,随着水深的增加,立管疲劳损伤增加;而水深相同时,随来流剪切程度的增加,疲劳损伤逐渐增大。展开更多
In this paper, we define some non-elementary amplitude functions that are giving solutions to some well-known second-order nonlinear ODEs and the Lorenz equations, but not the chaos case. We are giving the solutions a...In this paper, we define some non-elementary amplitude functions that are giving solutions to some well-known second-order nonlinear ODEs and the Lorenz equations, but not the chaos case. We are giving the solutions a name, a symbol and putting them into a group of functions and into the context of other functions. These solutions are equal to the amplitude, or upper limit of integration in a non-elementary integral that can be arbitrary. In order to define solutions to some short second-order nonlinear ODEs, we will make an extension to the general amplitude function. The only disadvantage is that the first derivative to these solutions contains an integral that disappear at the second derivation. We will also do a second extension: the two-integral amplitude function. With this extension we have the solution to a system of ODEs having a very strange behavior. Using the extended amplitude functions, we can define solutions to many short second-order nonlinear ODEs.展开更多
研究了在外部宽带噪声激励下含分数阶耦合时滞反馈的Van der pol系统的随机分岔.利用一组拟周期函数近似替换分数阶微分,通过随机平均法得到系统的伊藤随机微分方程,进一步求出与系统幅值相关的平稳概率密度函数.使用Matlab绘制联合概...研究了在外部宽带噪声激励下含分数阶耦合时滞反馈的Van der pol系统的随机分岔.利用一组拟周期函数近似替换分数阶微分,通过随机平均法得到系统的伊藤随机微分方程,进一步求出与系统幅值相关的平稳概率密度函数.使用Matlab绘制联合概率密度图,直观地展现了系统发生的稳态变化,并依据图像分析在时滞参数与分数阶阶次分别改变的情况下系统产生的随机P-分岔.结果表明时滞参数和分数阶阶次会对Van der pol系统的动力学特性产生影响,即当时滞参数和分数阶阶次在一定阈值内变化时,会诱导Van der pol系统产生P-分岔现象.展开更多
The People’s Army of Vietnam (PAVN) decided to use conventional warfare to unify Vietnam. The United States military operation against the Ho Chi Minh Trail traffic began in 1959. The (PAVN) connected a series of old...The People’s Army of Vietnam (PAVN) decided to use conventional warfare to unify Vietnam. The United States military operation against the Ho Chi Minh Trail traffic began in 1959. The (PAVN) connected a series of old trails leading from North Vietnam to South Vietnam via Laos and Cambodia. In the 1960s the network of trails was expanded. Trail traffic was interdicted by repeated CIA (Air America) and US Air Force (Operation Ranch Hand) tactical herbicide spraying and bombing missions. During the late 1960s, the Khmer Rouge Army slowly grew in eastern Cambodia during a time when America was spraying and bombing the Ho Chi Minh Trail. On February 22, 1969, the PAVN launched a new offensive against American forces in South Vietnam from their sanctuaries in Cambodia. President Richard Nixon and Dr. Henry Kissinger, decided to spray and bomb Cambodia, a neutral country, to eliminate the PAVN sanctuary base camps. The damage and loss of life as a result of U.S. air campaign resulted in the insurgency (Khmer Rouge) being able to recruit civilian members. This created a dual effect of strengthening the popularity of the Khmer Rouge, led by Pol Pot, enabling him to overthrow the Khmer Republic in 1975. The primary objectives of this study are to determine the political impacts and consequences of: 1) the 1959 United States secret war on the Ho Chi Minh Trail in Cambodia and 2) the 1969 President Nixon’s decision to destroy the PAVN bases hidden in the Cambodian jungles. These United States secret wars in Cambodia had long-lasting effects on Cambodian political, social, and economic stability.展开更多
根据非线性动力学的观点,通过理论分析和试验验证,研究非线性弹簧力和非线性摩擦力对液压缸动态特性的作用。得出三种不同节流调速回路工况下液体弹簧刚度随位移变化规律,发现不同工况各自呈现出软弹簧特性或硬弹簧特性。提出非线性弹...根据非线性动力学的观点,通过理论分析和试验验证,研究非线性弹簧力和非线性摩擦力对液压缸动态特性的作用。得出三种不同节流调速回路工况下液体弹簧刚度随位移变化规律,发现不同工况各自呈现出软弹簧特性或硬弹簧特性。提出非线性弹簧力作用可以用有阻尼的Duffing方程描述,非线性摩擦力作用可以用Van Der Pol方程描述,非线性弹簧力和非线性摩擦力耦合作用可以用Lienard方程描述。指出液压缸低速爬行原因是在特定工况下软弹簧特性引起的'跳跃现象'和非线性摩擦力引起的自激振动共同作用的结果。方程的解在不同工作条件下具有不同的形态,说明液压缸非线性动态特性复杂多变。展开更多
文摘涡激振动是引发立管疲劳损伤的关键诱因之一。基于Van Der Pol尾流振子方程,研究了不同长度两端铰接的钢悬链线立管在相同来流流量不同剖面剪切来流作用下的涡激振动响应。采用二阶中心差分法对时域和空间域的耦合方程组进行了求解,并采用雨流计数法对立管的疲劳寿命进行了预测。结果表明,立管振动沿轴向传播呈驻波和行波的混合模式,随立管长度的增加,振动响应由驻波主导转变为行波主导。受剪切来流剖面的影响,立管振动响应呈现多频特性,行波自立管的顶部向底部传播,且其传播速率随来流剪切程度及立管长度而变化。随剪切程度的增强,立管从流体中获得的能量减少,能耗增加,振动位移减少。相同来流剖面时,随着水深的增加,立管疲劳损伤增加;而水深相同时,随来流剪切程度的增加,疲劳损伤逐渐增大。
文摘In this paper, we define some non-elementary amplitude functions that are giving solutions to some well-known second-order nonlinear ODEs and the Lorenz equations, but not the chaos case. We are giving the solutions a name, a symbol and putting them into a group of functions and into the context of other functions. These solutions are equal to the amplitude, or upper limit of integration in a non-elementary integral that can be arbitrary. In order to define solutions to some short second-order nonlinear ODEs, we will make an extension to the general amplitude function. The only disadvantage is that the first derivative to these solutions contains an integral that disappear at the second derivation. We will also do a second extension: the two-integral amplitude function. With this extension we have the solution to a system of ODEs having a very strange behavior. Using the extended amplitude functions, we can define solutions to many short second-order nonlinear ODEs.
文摘研究了在外部宽带噪声激励下含分数阶耦合时滞反馈的Van der pol系统的随机分岔.利用一组拟周期函数近似替换分数阶微分,通过随机平均法得到系统的伊藤随机微分方程,进一步求出与系统幅值相关的平稳概率密度函数.使用Matlab绘制联合概率密度图,直观地展现了系统发生的稳态变化,并依据图像分析在时滞参数与分数阶阶次分别改变的情况下系统产生的随机P-分岔.结果表明时滞参数和分数阶阶次会对Van der pol系统的动力学特性产生影响,即当时滞参数和分数阶阶次在一定阈值内变化时,会诱导Van der pol系统产生P-分岔现象.
文摘The People’s Army of Vietnam (PAVN) decided to use conventional warfare to unify Vietnam. The United States military operation against the Ho Chi Minh Trail traffic began in 1959. The (PAVN) connected a series of old trails leading from North Vietnam to South Vietnam via Laos and Cambodia. In the 1960s the network of trails was expanded. Trail traffic was interdicted by repeated CIA (Air America) and US Air Force (Operation Ranch Hand) tactical herbicide spraying and bombing missions. During the late 1960s, the Khmer Rouge Army slowly grew in eastern Cambodia during a time when America was spraying and bombing the Ho Chi Minh Trail. On February 22, 1969, the PAVN launched a new offensive against American forces in South Vietnam from their sanctuaries in Cambodia. President Richard Nixon and Dr. Henry Kissinger, decided to spray and bomb Cambodia, a neutral country, to eliminate the PAVN sanctuary base camps. The damage and loss of life as a result of U.S. air campaign resulted in the insurgency (Khmer Rouge) being able to recruit civilian members. This created a dual effect of strengthening the popularity of the Khmer Rouge, led by Pol Pot, enabling him to overthrow the Khmer Republic in 1975. The primary objectives of this study are to determine the political impacts and consequences of: 1) the 1959 United States secret war on the Ho Chi Minh Trail in Cambodia and 2) the 1969 President Nixon’s decision to destroy the PAVN bases hidden in the Cambodian jungles. These United States secret wars in Cambodia had long-lasting effects on Cambodian political, social, and economic stability.
文摘随着信息化的发展,企业网络架构也在不断变革。面对流量和用户快速增长等多重挑战,企业传统交换机的网络架构已经无法满足需求,因此需要引入全新的全光网络组网方式。通过对比分析无源光局域网(Passive Optical LAN,POL)与局域网(Local Area Network,LAN)的网络架构,阐述POL全光网络的优势与园区场景中2种组网方式的对比,探讨多场景下的全光网络解决方案,为POL全光网络相关领域的发展提供参考。
文摘根据非线性动力学的观点,通过理论分析和试验验证,研究非线性弹簧力和非线性摩擦力对液压缸动态特性的作用。得出三种不同节流调速回路工况下液体弹簧刚度随位移变化规律,发现不同工况各自呈现出软弹簧特性或硬弹簧特性。提出非线性弹簧力作用可以用有阻尼的Duffing方程描述,非线性摩擦力作用可以用Van Der Pol方程描述,非线性弹簧力和非线性摩擦力耦合作用可以用Lienard方程描述。指出液压缸低速爬行原因是在特定工况下软弹簧特性引起的'跳跃现象'和非线性摩擦力引起的自激振动共同作用的结果。方程的解在不同工作条件下具有不同的形态,说明液压缸非线性动态特性复杂多变。
