将所有绘制matplotlib图形的逻辑放在一个单独的方法中，并在每次按下图形框架/页面的按钮时调用它。这意味着您也需要为该特定按钮使用一个单独的方法，因为它在被触发时需要调用图形逻辑方法。下面的示例同时执行了这两个操作，现在无论您何时单击按钮，您都会在每次显示图形框架时看到一个新的随机图形。
例如：

import random
from matplotlib.figure import Figure
import tkinter as tk
from tkinter import *
from tkinter import Tk, ttk
from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg

class SeaofBTCapp(tk.Tk):

    def __init__(self, *args, **kwargs):
        tk.Tk.__init__(self, *args, **kwargs)
        tk.Tk.wm_title(self, "Sea of BTC client")

        container = tk.Frame(self)
        container.pack(side="top", fill="both", expand = True)
        container.grid_rowconfigure(0, weight=1)
        container.grid_columnconfigure(0, weight=1)
        self.frames = {}

        for F in (StartPage, PageOne, PageTwo, PageThree):
            frame = F(container, self)
            self.frames[F] = frame
            frame.grid(row=0, column=0, sticky="nsew")
        self.show_frame(StartPage)

    def show_frame(self, cont):
        frame = self.frames[cont]
        frame.tkraise()

class StartPage(tk.Frame):

    def __init__(self, parent, controller):
        tk.Frame.__init__(self,parent)
        self.controller = controller
        label = tk.Label(self, text="Start Page")
        label.pack(pady=10,padx=10)
        button = ttk.Button(self, text="Visit Page 1",
                            command=lambda: controller.show_frame(PageOne))
        button.pack()
        button2 = ttk.Button(self, text="Visit Page 2",
                            command=lambda: controller.show_frame(PageTwo))
        button2.pack()
        button3 = ttk.Button(self, text="Graph Page",
                            command=self.show_graph)
        button3.pack()

    def show_graph(self):
        self.controller.show_frame(PageThree)
        graph = self.controller.frames[PageThree]
        graph.plot()

class PageOne(tk.Frame):

    def __init__(self, parent, controller):
        tk.Frame.__init__(self, parent)
        label = tk.Label(self, text="Page One!!!")
        label.pack(pady=10,padx=10)
        button1 = ttk.Button(self, text="Back to Home",
                            command=lambda: controller.show_frame(StartPage))
        button1.pack()
        button2 = ttk.Button(self, text="Page Two",
                            command=lambda: controller.show_frame(PageTwo))
        button2.pack()

class PageTwo(tk.Frame):

    def __init__(self, parent, controller):
        tk.Frame.__init__(self, parent)
        label = tk.Label(self, text="Page Two!!!")
        label.pack(pady=10,padx=10)
        button1 = ttk.Button(self, text="Back to Home",
                            command=lambda: controller.show_frame(StartPage))
        button1.pack()
        button2 = ttk.Button(self, text="Page One",
                            command=lambda: controller.show_frame(PageOne))
        button2.pack()

class PageThree(tk.Frame):

    def __init__(self, parent, controller):
        tk.Frame.__init__(self, parent)
        label = tk.Label(self, text="Graph Page!")
        label.pack(pady=10,padx=10)
        button1 = ttk.Button(self, text="Back to Home",
                            command=lambda: controller.show_frame(StartPage))
        button1.pack()
        self.f = Figure(figsize=(5,5), dpi=100)
        self.canvas = FigureCanvasTkAgg(self.f, self)

    def plot(self):
        self.f.clear()
        a = self.f.add_subplot(111)
        a.plot([1,2,3,4,5,6,7,8,9,10],[random.randint(1,34) for _ in range(10)])
        self.canvas.draw()
        self.canvas.get_tk_widget().pack(side=tk.BOTTOM, fill=tk.BOTH, expand=True)

app = SeaofBTCapp()
app.mainloop()